115001664192 has 560 divisors, whose sum is σ = 383110374240. Its totient is φ = 33896890368.

The previous prime is 115001664187. The next prime is 115001664223. The reversal of 115001664192 is 291466100511.

115001664192 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 0 + 1 + 6 + 641 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289676538 + ... + 289676934.

Almost surely, 2^115001664192 is an apocalyptic number.

115001664192 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 115001664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191555187120).

115001664192 is an abundant number, since it is smaller than the sum of its proper divisors (268108710048).

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

115001664192 is a wasteful number, since it uses less digits than its factorization.

115001664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 115001664192 in words is "one hundred fifteen billion, one million, six hundred sixty-four thousand, one hundred ninety-two".