112652640055296 has 1560 divisors, whose sum is σ = 385304375791104. Its totient is φ = 32736337920000.

The previous prime is 112652640055289. The next prime is 112652640055343. The reversal of 112652640055296 is 692550046256211.

112652640055296 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 52 + 64 + 0 + 0 + 5 + 529 + 6 = 666.

It is a super-2 number, since 2×112652640055296² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163028422311 + ... + 163028423001.

Almost surely, 2^{112652640055296} is an apocalyptic number.

112652640055296 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 112652640055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192652187895552).

112652640055296 is an abundant number, since it is smaller than the sum of its proper divisors (272651735735808).

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

112652640055296 is a wasteful number, since it uses less digits than its factorization.

112652640055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 112652640055296 in words is "one hundred twelve trillion, six hundred fifty-two billion, six hundred forty million, fifty-five thousand, two hundred ninety-six".