113096390400 has 1944 divisors, whose sum is σ = 522908875440. Its totient is φ = 23828152320.

The previous prime is 113096390389. The next prime is 113096390411. The reversal of 113096390400 is 4093690311.

113096390400 is a `hidden beast` number, since 1 + 13 + 0 + 9 + 639 + 0 + 4 + 0 + 0 = 666.

113096390400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113096390389) and next prime (113096390411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3056659182 + ... + 3056659218.

Almost surely, 2^113096390400 is an apocalyptic number.

113096390400 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 113096390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261454437720).

113096390400 is an abundant number, since it is smaller than the sum of its proper divisors (409812485040).

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

113096390400 is a wasteful number, since it uses less digits than its factorization.

113096390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 113096390400 in words is "one hundred thirteen billion, ninety-six million, three hundred ninety thousand, four hundred".