115331978736 has 960 divisors, whose sum is σ = 405188352000. Its totient is φ = 31248322560.

The previous prime is 115331978653. The next prime is 115331978737. The reversal of 115331978736 is 637879133511.

115331978736 is a `hidden beast` number, since 1 + 1 + 533 + 1 + 9 + 78 + 7 + 36 = 666.

It is a super-2 number, since 2×115331978736² (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 (115331978737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1890688146 + ... + 1890688206.

It is an arithmetic number, because the mean of its divisors is an integer number (422071200).

Almost surely, 2^115331978736 is an apocalyptic number.

115331978736 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 115331978736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202594176000).

115331978736 is an abundant number, since it is smaller than the sum of its proper divisors (289856373264).

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

115331978736 is a wasteful number, since it uses less digits than its factorization.

115331978736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 115331978736 in words is "one hundred fifteen billion, three hundred thirty-one million, nine hundred seventy-eight thousand, seven hundred thirty-six".