Related: What does 8-bit / 16-bit actually refer to?
I remember the "bit wars" of the late 1980s and early 1990s. The Genesis/Mega Drive and the PC Engine/Turbografx-16 were heavily marketed in the very early 90's as having twice as many "bits" (16) as the previous generation (Famicom/NES, Sega Master System, etc.). By 1993, Atari returned to the market with its monstrous cat-themed Atari Jaguar which they heavily touted as a 64-bit machine ("Do the math!"). This system was, as we remember, promptly pwned by the Nintendo 64 and Sony PlayStation before the decade was half up.
Starting around 2000, word size seems to have faded out of the world of gaming marketing and criticism. It became all about having wowie-zowie immersive 3D graphics, raw bit count be damned. I was looking at the 3DS on my shelf when I realized that I had entirely no idea what its word size was. I assume it is 32-bit or 64-bit based on my knowledge of contemporary PC's, but word size seems to have been completely absent in 3DS marketing and even discussion.
So, my question is, how high has word size actually gone in terms of gaming consoles? Was there ever a 128-bit console? 256? 512? 1024? How about a 2048-bit monstrosity? If I am dreaming of creating the world's first 4096-bit Mega Word Pwnage Rhinocerous9000 XL 2022, would that be a record or would I just be an also-ran in the lost Bit Wars?
To be clear, I'm not asking for a definition of or explanation of word size, nor am I asking why bit size is no longer prominent in console marketing. I'm asking a historical question about word size. Did bit size continue to grow behind the scenes (but was glossed over for marketing purposes) or are we literally still in the 32 and/or 64-bit console eras?