115117663104 has 256 divisors, whose sum is σ = 352574913600. Its totient is φ = 36946575360.

The previous prime is 115117663099. The next prime is 115117663117. The reversal of 115117663104 is 401366711511.

It is a happy number.

115117663104 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 17 + 6 + 631 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12398944 + ... + 12408224.

Almost surely, 2^115117663104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115117663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176287456800).

115117663104 is an abundant number, since it is smaller than the sum of its proper divisors (237457250496).

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

115117663104 is an equidigital number, since it uses as much as digits as its factorization.

115117663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 115117663104 in words is "one hundred fifteen billion, one hundred seventeen million, six hundred sixty-three thousand, one hundred four".