There isn't any, and it is quite simple to prove that.
Suppose there is a number with the most factors and suppose that number is X.
Now consider Y = 2*X.
Y has all the factors of X and it has another factor, which is 2. So Y has more factors than X. This contradicts the statement that X has the most factors. Therefore, there is no number with the most factors.
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48 has 10 factors, the most factors of any number under 50.
512 has 9 prime factors
180 has 18 factors.
8192 has 13 prime factors
48?