112837315680 has 480 divisors, whose sum is σ = 418195340640. Its totient is φ = 28612362240.

The previous prime is 112837315631. The next prime is 112837315781. The reversal of 112837315680 is 86513738211.

It is a happy number.

112837315680 is a `hidden beast` number, since 1 + 1 + 2 + 83 + 7 + 3 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25179040 + ... + 25183520.

It is an arithmetic number, because the mean of its divisors is an integer number (871240293).

Almost surely, 2^112837315680 is an apocalyptic number.

112837315680 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 112837315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209097670320).

112837315680 is an abundant number, since it is smaller than the sum of its proper divisors (305358024960).

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

112837315680 is a wasteful number, since it uses less digits than its factorization.

112837315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 112837315680 in words is "one hundred twelve billion, eight hundred thirty-seven million, three hundred fifteen thousand, six hundred eighty".