113807142969048 has 256 divisors, whose sum is σ = 331113671856000. Its totient is φ = 36622694384640.

The previous prime is 113807142968983. The next prime is 113807142969059. The reversal of 113807142969048 is 840969241708311.

113807142969048 is a `hidden beast` number, since 1 + 1 + 3 + 80 + 7 + 1 + 429 + 6 + 90 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7467162708 + ... + 7467177948.

Almost surely, 2^{113807142969048} is an apocalyptic number.

113807142969048 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 113807142969048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165556835928000).

113807142969048 is an abundant number, since it is smaller than the sum of its proper divisors (217306528886952).

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

113807142969048 is a wasteful number, since it uses less digits than its factorization.

113807142969048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30014 (or 29992 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 113807142969048 in words is "one hundred thirteen trillion, eight hundred seven billion, one hundred forty-two million, nine hundred sixty-nine thousand, forty-eight".