113785921138624 has 224 divisors, whose sum is σ = 268390298880000. Its totient is φ = 46830122680320.

The previous prime is 113785921138601. The next prime is 113785921138639. The reversal of 113785921138624 is 426831129587311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×113785921138624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2087826127 + ... + 2087880625.

Almost surely, 2^{113785921138624} is an apocalyptic number.

113785921138624 is a gapful number since it is divisible by the number (14) 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 113785921138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134195149440000).

113785921138624 is an abundant number, since it is smaller than the sum of its proper divisors (154604377741376).

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

113785921138624 is a wasteful number, since it uses less digits than its factorization.

113785921138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55411 (or 55401 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 113785921138624 in words is "one hundred thirteen trillion, seven hundred eighty-five billion, nine hundred twenty-one million, one hundred thirty-eight thousand, six hundred twenty-four".