113907404362752 has 4928 divisors, whose sum is σ = 493633490595840. Its totient is φ = 25282923724800.

The previous prime is 113907404362747. The next prime is 113907404362799. The reversal of 113907404362752 is 257263404709311.

113907404362752 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 7 + 4 + 0 + 4 + 3 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1008030127048 + ... + 1008030127160.

Almost surely, 2^{113907404362752} is an apocalyptic number.

113907404362752 is a gapful number since it is divisible by the number (12) 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 113907404362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246816745297920).

113907404362752 is an abundant number, since it is smaller than the sum of its proper divisors (379726086233088).

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

113907404362752 is a wasteful number, since it uses less digits than its factorization.

113907404362752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 113907404362752 in words is "one hundred thirteen trillion, nine hundred seven billion, four hundred four million, three hundred sixty-two thousand, seven hundred fifty-two".