116031312576 has 168 divisors, whose sum is σ = 364290376320. Its totient is φ = 35146653696.

The previous prime is 116031312563. The next prime is 116031312581. The reversal of 116031312576 is 675213130611.

116031312576 is a `hidden beast` number, since 1 + 1 + 60 + 3 + 13 + 12 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116031312576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79665 + ... + 488271.

Almost surely, 2^116031312576 is an apocalyptic number.

116031312576 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 116031312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182145188160).

116031312576 is an abundant number, since it is smaller than the sum of its proper divisors (248259063744).

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

116031312576 is a wasteful number, since it uses less digits than its factorization.

116031312576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408671 (or 408658 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 1160313 and 12576, that added together give a square (1172889 = 1083²).

The spelling of 116031312576 in words is "one hundred sixteen billion, thirty-one million, three hundred twelve thousand, five hundred seventy-six".