112970645998896 has 320 divisors, whose sum is σ = 338407561958400. Its totient is φ = 31809011724288.

The previous prime is 112970645998871. The next prime is 112970645998897. The reversal of 112970645998896 is 698899546079211.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (112970645998897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9219829506 + ... + 9219841758.

It is an arithmetic number, because the mean of its divisors is an integer number (1057523631120).

Almost surely, 2^{112970645998896} is an apocalyptic number.

112970645998896 is a gapful number since it is divisible by the number (16) 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 112970645998896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203780979200).

112970645998896 is an abundant number, since it is smaller than the sum of its proper divisors (225436915959504).

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

112970645998896 is a wasteful number, since it uses less digits than its factorization.

112970645998896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 84.

The spelling of 112970645998896 in words is "one hundred twelve trillion, nine hundred seventy billion, six hundred forty-five million, nine hundred ninety-eight thousand, eight hundred ninety-six".