112717539567360 has 2016 divisors, whose sum is σ = 499931667462528. Its totient is φ = 23700591083520.

The previous prime is 112717539567343. The next prime is 112717539567377. The reversal of 112717539567360 is 63765935717211.

112717539567360 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 7 + 5 + 3 + 9 + 567 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (112717539567343) and next prime (112717539567377).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×112717539567360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 26578054840 + ... + 26578059080.

It is an arithmetic number, because the mean of its divisors is an integer number (247981977908).

Almost surely, 2^{112717539567360} is an apocalyptic number.

112717539567360 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 112717539567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249965833731264).

112717539567360 is an abundant number, since it is smaller than the sum of its proper divisors (387214127895168).

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

112717539567360 is an equidigital number, since it uses as much as digits as its factorization.

112717539567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 112717539567360 in words is "one hundred twelve trillion, seven hundred seventeen billion, five hundred thirty-nine million, five hundred sixty-seven thousand, three hundred sixty".