115374336000 has 768 divisors, whose sum is σ = 478839029760. Its totient is φ = 23961600000.

The previous prime is 115374335953. The next prime is 115374336001. The reversal of 115374336000 is 633473511.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×115374336000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (115374336001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59135025 + ... + 59136975.

It is an arithmetic number, because the mean of its divisors is an integer number (623488320).

Almost surely, 2^115374336000 is an apocalyptic number.

115374336000 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 115374336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239419514880).

115374336000 is an abundant number, since it is smaller than the sum of its proper divisors (363464693760).

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

115374336000 is a wasteful number, since it uses less digits than its factorization.

115374336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 115374336000 in words is "one hundred fifteen billion, three hundred seventy-four million, three hundred thirty-six thousand".