113272344000 has 560 divisors, whose sum is σ = 425464284960. Its totient is φ = 29743718400.

The previous prime is 113272343999. The next prime is 113272344001. The reversal of 113272344000 is 443272311.

It is a happy number.

113272344000 is a `hidden beast` number, since 1 + 1 + 3 + 27 + 234 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113272343999) and next prime (113272344001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113272344001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43414696 + ... + 43417304.

Almost surely, 2^113272344000 is an apocalyptic number.

113272344000 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 113272344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212732142480).

113272344000 is an abundant number, since it is smaller than the sum of its proper divisors (312191940960).

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

113272344000 is an equidigital number, since it uses as much as digits as its factorization.

113272344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 113272344000 in words is "one hundred thirteen billion, two hundred seventy-two million, three hundred forty-four thousand".