113009923353600 has 4224 divisors, whose sum is σ = 535824816128000. Its totient is φ = 23176013414400.

The previous prime is 113009923353577. The next prime is 113009923353617. The reversal of 113009923353600 is 6353329900311.

113009923353600 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 9 + 9 + 2 + 3 + 35 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114036249105 + ... + 114036250095.

Almost surely, 2^{113009923353600} is an apocalyptic number.

113009923353600 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 113009923353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267912408064000).

113009923353600 is an abundant number, since it is smaller than the sum of its proper divisors (422814892774400).

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

113009923353600 is a wasteful number, since it uses less digits than its factorization.

113009923353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 113009923353600 in words is "one hundred thirteen trillion, nine billion, nine hundred twenty-three million, three hundred fifty-three thousand, six hundred".