112813608960 has 936 divisors, whose sum is σ = 445171348440. Its totient is φ = 26263683072.

The previous prime is 112813608959. The next prime is 112813608961. The reversal of 112813608960 is 69806318211.

112813608960 is a `hidden beast` number, since 1 + 1 + 28 + 13 + 608 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112813608959) and next prime (112813608961).

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 112638099456 = 13248^2 + 335616^2 .

It is a tau number, because it is divible by the number of its divisors (936).

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

It is not an unprimeable number, because it can be changed into a prime (112813608961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1267568596 + ... + 1267568684.

It is an arithmetic number, because the mean of its divisors is an integer number (475610415).

Almost surely, 2^112813608960 is an apocalyptic number.

112813608960 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 112813608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222585674220).

112813608960 is an abundant number, since it is smaller than the sum of its proper divisors (332357739480).

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

112813608960 is a wasteful number, since it uses less digits than its factorization.

112813608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 112813608960 in words is "one hundred twelve billion, eight hundred thirteen million, six hundred eight thousand, nine hundred sixty".