There is no actual biggest number because numbers can go on forever.
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No, it is not the biggest. There is no biggest. Indeed, there is a part of mathematics which deals with transfinite numbers: these are different orders of infinity!
squares go up to infinity there is no limit, but there is no answer for the largest known square number here yet there won't no answer for that.
The biggest number that can be possibly be written, is 10^4*185
Since there is no biggest integer, there can be no biggest rational number - since any integer is a rational number with the denominator = 1.
997 is the biggest 3 digit Prime number.