112656360960 has 960 divisors, whose sum is σ = 473585688576. Its totient is φ = 24374476800.

The previous prime is 112656360919. The next prime is 112656360967. The reversal of 112656360960 is 69063656211.

112656360960 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 636 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112656360967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102135769 + ... + 102136871.

Almost surely, 2^112656360960 is an apocalyptic number.

112656360960 is a gapful number since it is divisible by the number (10) 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 112656360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236792844288).

112656360960 is an abundant number, since it is smaller than the sum of its proper divisors (360929327616).

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

112656360960 is a wasteful number, since it uses less digits than its factorization.

112656360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 112656360960 in words is "one hundred twelve billion, six hundred fifty-six million, three hundred sixty thousand, nine hundred sixty".