113379904000000 has 637 divisors, whose sum is σ = 311752668635857. Its totient is φ = 41229056000000.

The previous prime is 113379903999917. The next prime is 113379904000003. The reversal of 113379904000000 is 409973311.

The square root of 113379904000000 is 10648000.

The cubic root of 113379904000000 is 48400.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 99331680374784 + 14048223625216 = 9966528^2 + 3748096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113379904000003) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 10307263999995 + ... + 10307264000005.

Almost surely, 2^{113379904000000} is an apocalyptic number.

113379904000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113379904000000 is the 10648000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113379904000000

113379904000000 is an abundant number, since it is smaller than the sum of its proper divisors (198372764635857).

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

113379904000000 is an frugal number, since it uses more digits than its factorization.

113379904000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 113379904000000 in words is "one hundred thirteen trillion, three hundred seventy-nine billion, nine hundred four million", and thus it is an aban number.