The only trait every single thing within the Omniverse share is that it exists. How it exists varies in countless ways.
The Omniverse is ALL and nothing can surpass the omniverse. The nature of omniverse is being beyond anything and if something surpass omniverse, then omniverse still contains this thing. The Omniverse is inaccessible by any extension of archversal hierarchies, unattainable even by Absolute Infinity and Cantor's Ordinal, and goes completely beyond the concept of dimensionality. Even if we continue to build structures that go completely beyond the concept of mathematics and the dimensionality for eternity, we will not get one step closer to the omniverse. Even if something surpasses this, and continues its ascent through hierarchies that completely overshadow everything described earlier, it will still remain only a monument to creation, dust in the wind.
The term "omniverse" was coined by Mark Gruenwald. It has been popularized by the composer-writer Sun Ra. Roger Penrose has spoken of the "omnium".
Beyond the Omniverse
The Omniverse exists in the surrounding emptiness known as The Outside, a void of virtual nothingness. Whatever may lie outside of these concepts is simply referred to as Beyond, one of the many iterations contained by Transcendentem.
Two Godverses orbit the Omniverse, one belonging to Creator, and one to Destroyer.
The Omniverse, the three Godverses and The Outside are what makeup the Barrel, the local monocosm
Godverses are realms beyond the Omniverse that are home to deities/gods. There are three Godverses within The Barrel; one belonging to Creator, one belonging to Destroyer, and one belonging to Hyperman.
Information
Very few concepts in general can truly be outside of the Omniverse; as the name itself implies the complete totality of all verses, as well as countless realms, dimensions, spaces, voids, etc. However, for Omnipotent beings like Creator, Destroyer, and Hyperman, this is just another concept below their level.
Being omnipotent^1 allows these entities to be beyond the very concept of existence. This allows Godverses to be outside the limits (what few there are) of the Omniverse. Nonetheless, Godverses can still be classified as "existing", but the inner working of such a magnificent space are beyond any known level of comprehension within the Omniverse. If anything were to exist within the Godverses, it would be completely alien to every form of existence known and experienced within the Omniverse. Currently, only the nature of Hyperman's Godverse is known by some inhabitants of the Omniverse. However even this knowledge is simply vague, abstract details as its true nature is almost certainly beyond their comprehension.