No, if you think that you have it, you can always find one that is larger.
Take, for example you find an even composite number (all even numbers, except 2 - which is the only even prime, are composite). Call this number N. Now add 2 to N for N+2, which is also even, so it is also a composite. What about odd composites: if you find an odd composite(M), then add 1 to it: odd+odd=even, so M+1 is even, which is also composite. You can keep going forever.
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No "largest" composite number exists.
999 = 3 x 333 = 9 x 111so is a composite (not prime) number.
Unless you specify the number of digits, the question has no answer. Numbers don't stop.
It is a composite number.284 is a composite number
94 is a composite number