115117846272 has 1296 divisors, whose sum is σ = 440962421760. Its totient is φ = 29328998400.

The previous prime is 115117846229. The next prime is 115117846451. The reversal of 115117846272 is 272648711511.

115117846272 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 17 + 8 + 4 + 627 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3713478897 + ... + 3713478927.

Almost surely, 2^115117846272 is an apocalyptic number.

115117846272 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 115117846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220481210880).

115117846272 is an abundant number, since it is smaller than the sum of its proper divisors (325844575488).

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

115117846272 is a wasteful number, since it uses less digits than its factorization.

115117846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 115117846272 in words is "one hundred fifteen billion, one hundred seventeen million, eight hundred forty-six thousand, two hundred seventy-two".