113854475878400 has 720 divisors, whose sum is σ = 301975387338240. Its totient is φ = 42504290304000.

The previous prime is 113854475878379. The next prime is 113854475878411. The reversal of 113854475878400 is 4878574458311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51587890097 + ... + 51587892303.

It is an arithmetic number, because the mean of its divisors is an integer number (419410260192).

Almost surely, 2^{113854475878400} is an apocalyptic number.

113854475878400 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 113854475878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150987693669120).

113854475878400 is an abundant number, since it is smaller than the sum of its proper divisors (188120911459840).

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

113854475878400 is a wasteful number, since it uses less digits than its factorization.

113854475878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 65.

The spelling of 113854475878400 in words is "one hundred thirteen trillion, eight hundred fifty-four billion, four hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".