113751412147008 has 280 divisors, whose sum is σ = 339973975880000. Its totient is φ = 37605192855552.

The previous prime is 113751412146943. The next prime is 113751412147013. The reversal of 113751412147008 is 800741214157311.

113751412147008 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 51 + 4 + 121 + 470 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696715368 + ... + 696878616.

It is an arithmetic number, because the mean of its divisors is an integer number (1214192771000).

Almost surely, 2^{113751412147008} is an apocalyptic number.

113751412147008 is a gapful number since it is divisible by the number (18) 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 113751412147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169986987940000).

113751412147008 is an abundant number, since it is smaller than the sum of its proper divisors (226222563732992).

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

113751412147008 is a wasteful number, since it uses less digits than its factorization.

113751412147008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164379 (or 164360 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 113751412147008 in words is "one hundred thirteen trillion, seven hundred fifty-one billion, four hundred twelve million, one hundred forty-seven thousand, eight".