112914239967360 has 960 divisors, whose sum is σ = 440083855918080. Its totient is φ = 27575150174208.

The previous prime is 112914239967281. The next prime is 112914239967371. The reversal of 112914239967360 is 63769932419211.

It is a happy number.

112914239967360 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 1 + 423 + 99 + 67 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1112591179 + ... + 1112692661.

It is an arithmetic number, because the mean of its divisors is an integer number (458420683248).

Almost surely, 2^{112914239967360} is an apocalyptic number.

112914239967360 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 112914239967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220041927959040).

112914239967360 is an abundant number, since it is smaller than the sum of its proper divisors (327169615950720).

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

112914239967360 is a wasteful number, since it uses less digits than its factorization.

112914239967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101667 (or 101633 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 112914239967360 in words is "one hundred twelve trillion, nine hundred fourteen billion, two hundred thirty-nine million, nine hundred sixty-seven thousand, three hundred sixty".