115744882176 has 1280 divisors, whose sum is σ = 461970432000. Its totient is φ = 27709931520.

The previous prime is 115744882133. The next prime is 115744882213. The reversal of 115744882176 is 671288447511.

It is a happy number.

115744882176 is a `hidden beast` number, since 1 + 1 + 5 + 74 + 488 + 21 + 76 = 666.

It is a super-2 number, since 2×115744882176² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1193246160 + ... + 1193246256.

It is an arithmetic number, because the mean of its divisors is an integer number (360914400).

Almost surely, 2^115744882176 is an apocalyptic number.

115744882176 is a gapful number since it is divisible by the number (16) 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 115744882176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216000).

115744882176 is an abundant number, since it is smaller than the sum of its proper divisors (346225549824).

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

115744882176 is a wasteful number, since it uses less digits than its factorization.

115744882176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 115744882176 in words is "one hundred fifteen billion, seven hundred forty-four million, eight hundred eighty-two thousand, one hundred seventy-six".