115164832104 has 512 divisors, whose sum is σ = 394813440000. Its totient is φ = 31040755200.

The previous prime is 115164832093. The next prime is 115164832121. The reversal of 115164832104 is 401238461511.

115164832104 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 648 + 3 + 2 + 1 + 0 + 4 = 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 127 ways as a sum of consecutive naturals, for example, 94165237 + ... + 94166459.

It is an arithmetic number, because the mean of its divisors is an integer number (771120000).

Almost surely, 2^115164832104 is an apocalyptic number.

115164832104 is a gapful number since it is divisible by the number (14) 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 115164832104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720000).

115164832104 is an abundant number, since it is smaller than the sum of its proper divisors (279648607896).

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

115164832104 is a wasteful number, since it uses less digits than its factorization.

115164832104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 115164832104 in words is "one hundred fifteen billion, one hundred sixty-four million, eight hundred thirty-two thousand, one hundred four".