There is no number you (or anyone) can think of that someone else can't think of one greater. There is no largest. Numbers don't stop.
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Actually Infinity is the Largest number. I knew that because Buzz Lightyear in Toy Story says, "Infinity Unbeyond!" and infinity means non stop; never ending; unbeyond that point!
infinity
It is infinity which has no ending
There is no number right before infinity. One could say that the number before infinity is "infinity minus one", but you cannot use normal subtraction with infinity. Infinity - 1 is still mathematically defined as infinity, as is Infinity + 1. Perhaps the question is referring to the largest number with its own name (other than infinity, which, as previously stated, is not technically a number). A googol is often cited as this number. A googol is defined to be a 1 with a hundred zeroes after it. Alternatively, a googolplex might qualify for the title of largest number with its own name, being a 1 with a googol zeroes after it. A couple of quick side notes are in order here: There are not a googolplex atoms in the visible universe. It is an extremely big number. The search engine company Google named their company after a googol, because of vast amount of information that they process and organize.
Infinity - 1