115904034792 has 384 divisors, whose sum is σ = 404324444160. Its totient is φ = 29173063680.

The previous prime is 115904034769. The next prime is 115904034881. The reversal of 115904034792 is 297430409511.

115904034792 is a `hidden beast` number, since 1 + 159 + 0 + 403 + 4 + 7 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14823268 + ... + 14831084.

It is an arithmetic number, because the mean of its divisors is an integer number (1052928240).

Almost surely, 2^115904034792 is an apocalyptic number.

115904034792 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 115904034792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202162222080).

115904034792 is an abundant number, since it is smaller than the sum of its proper divisors (288420409368).

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

115904034792 is a wasteful number, since it uses less digits than its factorization.

115904034792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 115904034792 in words is "one hundred fifteen billion, nine hundred four million, thirty-four thousand, seven hundred ninety-two".