113504356224 has 192 divisors, whose sum is σ = 373900176000. Its totient is φ = 32376001536.

The previous prime is 113504356181. The next prime is 113504356243. The reversal of 113504356224 is 422653405311.

113504356224 is a `hidden beast` number, since 1 + 1 + 3 + 50 + 43 + 562 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4980247 + ... + 5002985.

It is an arithmetic number, because the mean of its divisors is an integer number (1947396750).

Almost surely, 2^113504356224 is an apocalyptic number.

113504356224 is a gapful number since it is divisible by the number (14) 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 113504356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186950088000).

113504356224 is an abundant number, since it is smaller than the sum of its proper divisors (260395819776).

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

113504356224 is a wasteful number, since it uses less digits than its factorization.

113504356224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23385 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 113504356224 in words is "one hundred thirteen billion, five hundred four million, three hundred fifty-six thousand, two hundred twenty-four".