113054054400 has 864 divisors, whose sum is σ = 483355782000. Its totient is φ = 25825443840.

The previous prime is 113054054363. The next prime is 113054054417. The reversal of 113054054400 is 4450450311.

It is a happy number.

113054054400 is a `hidden beast` number, since 1 + 1 + 30 + 540 + 54 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67736766 + ... + 67738434.

Almost surely, 2^113054054400 is an apocalyptic number.

113054054400 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 113054054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241677891000).

113054054400 is an abundant number, since it is smaller than the sum of its proper divisors (370301727600).

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

113054054400 is a wasteful number, since it uses less digits than its factorization.

113054054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 113054054400 in words is "one hundred thirteen billion, fifty-four million, fifty-four thousand, four hundred".