113123568729600 has 1920 divisors, whose sum is σ = 513487559692800. Its totient is φ = 23981830963200.

The previous prime is 113123568729503. The next prime is 113123568729617. The reversal of 113123568729600 is 6927865321311.

It is a happy number.

113123568729600 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 3 + 5 + 6 + 8 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 938934964 + ... + 939055436.

It is an arithmetic number, because the mean of its divisors is an integer number (267441437340).

Almost surely, 2^{113123568729600} is an apocalyptic number.

113123568729600 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 113123568729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256743779846400).

113123568729600 is an abundant number, since it is smaller than the sum of its proper divisors (400363990963200).

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

113123568729600 is a wasteful number, since it uses less digits than its factorization.

113123568729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120553 (or 120526 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 113123568729600 in words is "one hundred thirteen trillion, one hundred twenty-three billion, five hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred".