112057756812288 has 880 divisors, whose sum is σ = 405173448725760. Its totient is φ = 30114771369984.

The previous prime is 112057756812259. The next prime is 112057756812293. The reversal of 112057756812288 is 882218657750211.

It is a happy number.

112057756812288 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 57 + 7 + 568 + 12 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 26126777248 + ... + 26126781536.

It is an arithmetic number, because the mean of its divisors is an integer number (460424373552).

Almost surely, 2^{112057756812288} is an apocalyptic number.

112057756812288 is a gapful number since it is divisible by the number (18) 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 112057756812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202586724362880).

112057756812288 is an abundant number, since it is smaller than the sum of its proper divisors (293115691913472).

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

112057756812288 is a wasteful number, since it uses less digits than its factorization.

112057756812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 63.

The spelling of 112057756812288 in words is "one hundred twelve trillion, fifty-seven billion, seven hundred fifty-six million, eight hundred twelve thousand, two hundred eighty-eight".