112560144763968 has 336 divisors, whose sum is σ = 374085048729600. Its totient is φ = 32000186280960.

The previous prime is 112560144763961. The next prime is 112560144763991. The reversal of 112560144763968 is 869367441065211.

112560144763968 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 60 + 14 + 476 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×112560144763968² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112560144763961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7860673 + ... + 16938431.

It is a 1-persistent number, because it is pandigital, but 2⋅112560144763968 = 225120289527936 is not.

Almost surely, 2^{112560144763968} is an apocalyptic number.

112560144763968 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 112560144763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187042524364800).

112560144763968 is an abundant number, since it is smaller than the sum of its proper divisors (261524903965632).

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

112560144763968 is a wasteful number, since it uses less digits than its factorization.

112560144763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077910 (or 9077897 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 112560144763968 in words is "one hundred twelve trillion, five hundred sixty billion, one hundred forty-four million, seven hundred sixty-three thousand, nine hundred sixty-eight".