112640835251256 has 512 divisors, whose sum is σ = 340100004787200. Its totient is φ = 30711840768000.

The previous prime is 112640835251251. The next prime is 112640835251261. The reversal of 112640835251256 is 652152538046211.

It is an interprime number because it is at equal distance from previous prime (112640835251251) and next prime (112640835251261).

It is a super-2 number, since 2×112640835251256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 112640835251199 and 112640835251208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112640835251251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16181699616 + ... + 16181706576.

It is an arithmetic number, because the mean of its divisors is an integer number (664257821850).

Almost surely, 2^{112640835251256} 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 112640835251256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170050002393600).

112640835251256 is an abundant number, since it is smaller than the sum of its proper divisors (227459169535944).

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

112640835251256 is a wasteful number, since it uses less digits than its factorization.

112640835251256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 112640835251256 in words is "one hundred twelve trillion, six hundred forty billion, eight hundred thirty-five million, two hundred fifty-one thousand, two hundred fifty-six".