112439900160 has 576 divisors, whose sum is σ = 454584312000. Its totient is φ = 25693323264.

The previous prime is 112439900129. The next prime is 112439900197. The reversal of 112439900160 is 61009934211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112439900160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31609102 + ... + 31612658.

It is an arithmetic number, because the mean of its divisors is an integer number (789208875).

Almost surely, 2^112439900160 is an apocalyptic number.

112439900160 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 112439900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227292156000).

112439900160 is an abundant number, since it is smaller than the sum of its proper divisors (342144411840).

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

112439900160 is an equidigital number, since it uses as much as digits as its factorization.

112439900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 112439900160 in words is "one hundred twelve billion, four hundred thirty-nine million, nine hundred thousand, one hundred sixty".