113514450205400 has 384 divisors, whose sum is σ = 274003148390400. Its totient is φ = 43710476812800.

The previous prime is 113514450205399. The next prime is 113514450205421. The reversal of 113514450205400 is 4502054415311.

It is a happy number.

It is a super-2 number, since 2×113514450205400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137260519787 + ... + 137260520613.

It is an arithmetic number, because the mean of its divisors is an integer number (713549865600).

Almost surely, 2^{113514450205400} is an apocalyptic number.

113514450205400 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 113514450205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137001574195200).

113514450205400 is an abundant number, since it is smaller than the sum of its proper divisors (160488698185000).

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

113514450205400 is a wasteful number, since it uses less digits than its factorization.

113514450205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 113514450205400 in words is "one hundred thirteen trillion, five hundred fourteen billion, four hundred fifty million, two hundred five thousand, four hundred".