113739414624000 has 2880 divisors, whose sum is σ = 476903393366400. Its totient is φ = 26679214080000.

The previous prime is 113739414623993. The next prime is 113739414624013. The reversal of 113739414624000 is 426414937311.

It is a happy number.

113739414624000 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 3 + 9 + 4 + 14 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×113739414624000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 174179807674 + ... + 174179808326.

It is an arithmetic number, because the mean of its divisors is an integer number (165591456030).

Almost surely, 2^{113739414624000} is an apocalyptic number.

113739414624000 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 113739414624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238451696683200).

113739414624000 is an abundant number, since it is smaller than the sum of its proper divisors (363163978742400).

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

113739414624000 is a wasteful number, since it uses less digits than its factorization.

113739414624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 113739414624000 in words is "one hundred thirteen trillion, seven hundred thirty-nine billion, four hundred fourteen million, six hundred twenty-four thousand".