113160024000 has 448 divisors, whose sum is σ = 439607675520. Its totient is φ = 28400025600.

The previous prime is 113160023959. The next prime is 113160024001. The reversal of 113160024000 is 420061311.

It is a happy number.

113160024000 is a `hidden beast` number, since 11 + 31 + 600 + 24 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113160024001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3656592 + ... + 3687408.

Almost surely, 2^113160024000 is an apocalyptic number.

113160024000 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 113160024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219803837760).

113160024000 is an abundant number, since it is smaller than the sum of its proper divisors (326447651520).

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

113160024000 is a wasteful number, since it uses less digits than its factorization.

113160024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113160024000 its reverse (420061311), we get a palindrome (113580085311).

The spelling of 113160024000 in words is "one hundred thirteen billion, one hundred sixty million, twenty-four thousand".