113644952038800 has 2880 divisors, whose sum is σ = 529167819980800. Its totient is φ = 21910254796800.

The previous prime is 113644952038789. The next prime is 113644952038811. The reversal of 113644952038800 is 8830259446311.

It is a happy number.

113644952038800 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 4 + 9 + 520 + 38 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113644952038789) and next prime (113644952038811).

It is a super-3 number, since 3×113644952038800³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 71972736411 + ... + 71972737989.

Almost surely, 2^{113644952038800} is an apocalyptic number.

113644952038800 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 113644952038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264583909990400).

113644952038800 is an abundant number, since it is smaller than the sum of its proper divisors (415522867942000).

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

113644952038800 is a wasteful number, since it uses less digits than its factorization.

113644952038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 113644952038800 in words is "one hundred thirteen trillion, six hundred forty-four billion, nine hundred fifty-two million, thirty-eight thousand, eight hundred".