113856817536 has 512 divisors, whose sum is σ = 424765209600. Its totient is φ = 29163110400.

The previous prime is 113856817519. The next prime is 113856817537. The reversal of 113856817536 is 635718658311.

It is a happy number.

113856817536 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 568 + 1 + 75 + 3 + 6 = 666.

It is a super-2 number, since 2×113856817536² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113856817537) 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 63 ways as a sum of consecutive naturals, for example, 19423246 + ... + 19429106.

It is an arithmetic number, because the mean of its divisors is an integer number (829619550).

Almost surely, 2^113856817536 is an apocalyptic number.

113856817536 is a gapful number since it is divisible by the number (16) 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 113856817536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212382604800).

113856817536 is an abundant number, since it is smaller than the sum of its proper divisors (310908392064).

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

113856817536 is a wasteful number, since it uses less digits than its factorization.

113856817536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5957 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 113856817536 in words is "one hundred thirteen billion, eight hundred fifty-six million, eight hundred seventeen thousand, five hundred thirty-six".