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Arceus is a demiurge that treats pokemon, pokemons "earth", and its timeline and multiverse as an anachronistic multiverse as something to watch mold and ponder.
This makes him not a god, but indistinguishable as a god from the perspective of living creatures in universe.
It took me replaying every single game in a row, but it's not too bad to piece together after a while.
It is also a stand in as a metaphor for a collector toying with humans, as a contrast to the player.
The arceus that you the player interacts with, in every game, is a manifestation of the true arceus intent and will, translated into physical space within the players universe. As a result, it is not omnipotent or omnisicence.
The clues come in the purpose of giratina, the distortion world, and gamefreaks obsession with space.
Also consider the stardust and pieces inherent where the mountain of sinnoh exists.