113537633385600 has 2304 divisors, whose sum is σ = 462039990048000. Its totient is φ = 27402468065280.

The previous prime is 113537633385577. The next prime is 113537633385637. The reversal of 113537633385600 is 6583336735311.

113537633385600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 76 + 3 + 3 + 3 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135324949981 + ... + 135324950819.

It is an arithmetic number, because the mean of its divisors is an integer number (200538190125).

Almost surely, 2^{113537633385600} is an apocalyptic number.

113537633385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113537633385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231019995024000).

113537633385600 is an abundant number, since it is smaller than the sum of its proper divisors (348502356662400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113537633385600 is a wasteful number, since it uses less digits than its factorization.

113537633385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 113537633385600 in words is "one hundred thirteen trillion, five hundred thirty-seven billion, six hundred thirty-three million, three hundred eighty-five thousand, six hundred".