112437146640 has 720 divisors, whose sum is σ = 455660443008. Its totient is φ = 22453936128.

The previous prime is 112437146629. The next prime is 112437146683. The reversal of 112437146640 is 46641734211.

It is a super-2 number, since 2×112437146640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102494572 + ... + 102495668.

Almost surely, 2^112437146640 is an apocalyptic number.

112437146640 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 112437146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227830221504).

112437146640 is an abundant number, since it is smaller than the sum of its proper divisors (343223296368).

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

112437146640 is a wasteful number, since it uses less digits than its factorization.

112437146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 112437146640 in words is "one hundred twelve billion, four hundred thirty-seven million, one hundred forty-six thousand, six hundred forty".