112654776160 has 96 divisors (see below), whose sum is σ = 273536639712. Its totient is φ = 43812495360.

The previous prime is 112654776133. The next prime is 112654776161. The reversal of 112654776160 is 61677456211.

112654776160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112654776160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112654776161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9294264 + ... + 9306376.

It is an arithmetic number, because the mean of its divisors is an integer number (2849339997).

Almost surely, 2^112654776160 is an apocalyptic number.

112654776160 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 112654776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136768319856).

112654776160 is an abundant number, since it is smaller than the sum of its proper divisors (160881863552).

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

112654776160 is a wasteful number, since it uses less digits than its factorization.

112654776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 112654776160 in words is "one hundred twelve billion, six hundred fifty-four million, seven hundred seventy-six thousand, one hundred sixty".