113235865600 has 936 divisors, whose sum is σ = 359328685520. Its totient is φ = 35035545600.

The previous prime is 113235865597. The next prime is 113235865601. The reversal of 113235865600 is 6568532311.

It is a super-2 number, since 2×113235865600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (113235865601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3060428782 + ... + 3060428818.

Almost surely, 2^113235865600 is an apocalyptic number.

113235865600 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 113235865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179664342760).

113235865600 is an abundant number, since it is smaller than the sum of its proper divisors (246092819920).

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

113235865600 is a wasteful number, since it uses less digits than its factorization.

113235865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 113235865600 in words is "one hundred thirteen billion, two hundred thirty-five million, eight hundred sixty-five thousand, six hundred".