113474440800 has 432 divisors, whose sum is σ = 461762945280. Its totient is φ = 25684024320.

The previous prime is 113474440789. The next prime is 113474440801. The reversal of 113474440800 is 8044474311.

It is a happy number.

113474440800 is a `hidden beast` number, since 1 + 134 + 7 + 4 + 440 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113474440801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5180271 + ... + 5202129.

Almost surely, 2^113474440800 is an apocalyptic number.

113474440800 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 113474440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230881472640).

113474440800 is an abundant number, since it is smaller than the sum of its proper divisors (348288504480).

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

113474440800 is a wasteful number, since it uses less digits than its factorization.

113474440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21995 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 113474440800 in words is "one hundred thirteen billion, four hundred seventy-four million, four hundred forty thousand, eight hundred".