112670046720 has 960 divisors, whose sum is σ = 498680582400. Its totient is φ = 22826188800.

The previous prime is 112670046691. The next prime is 112670046799. The reversal of 112670046720 is 27640076211.

112670046720 is a `hidden beast` number, since 1 + 126 + 70 + 0 + 467 + 2 + 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72736506 + ... + 72738054.

It is an arithmetic number, because the mean of its divisors is an integer number (519458940).

Almost surely, 2^112670046720 is an apocalyptic number.

112670046720 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 112670046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249340291200).

112670046720 is an abundant number, since it is smaller than the sum of its proper divisors (386010535680).

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

112670046720 is a wasteful number, since it uses less digits than its factorization.

112670046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 112670046720 in words is "one hundred twelve billion, six hundred seventy million, forty-six thousand, seven hundred twenty".