113643396652032 has 352 divisors, whose sum is σ = 365212654920960. Its totient is φ = 34700259409920.

The previous prime is 113643396652007. The next prime is 113643396652039. The reversal of 113643396652032 is 230256693346311.

113643396652032 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 43 + 396 + 6 + 5 + 203 + 2 = 666.

It is a super-2 number, since 2×113643396652032² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113643396652032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113643396652039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45877743 + ... + 48291345.

It is an arithmetic number, because the mean of its divisors is an integer number (1037535951480).

Almost surely, 2^{113643396652032} is an apocalyptic number.

113643396652032 is a gapful number since it is divisible by the number (12) 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 113643396652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182606327460480).

113643396652032 is an abundant number, since it is smaller than the sum of its proper divisors (251569258268928).

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

113643396652032 is a wasteful number, since it uses less digits than its factorization.

113643396652032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413776 (or 2413752 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 113643396652032 in words is "one hundred thirteen trillion, six hundred forty-three billion, three hundred ninety-six million, six hundred fifty-two thousand, thirty-two".