113819010818688 has 192 divisors, whose sum is σ = 374857216393920. Its totient is φ = 32472653967360.

The previous prime is 113819010818659. The next prime is 113819010818707. The reversal of 113819010818688 is 886818010918311.

113819010818688 is a `hidden beast` number, since 1 + 1 + 381 + 90 + 10 + 8 + 1 + 86 + 88 = 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 (63).

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, 4640845 + ... + 15785292.

It is an arithmetic number, because the mean of its divisors is an integer number (1952381335385).

Almost surely, 2^{113819010818688} is an apocalyptic number.

113819010818688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113819010818688 is an abundant number, since it is smaller than the sum of its proper divisors (261038205575232).

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

113819010818688 is a wasteful number, since it uses less digits than its factorization.

113819010818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426855 (or 20426840 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 63.

The spelling of 113819010818688 in words is "one hundred thirteen trillion, eight hundred nineteen billion, ten million, eight hundred eighteen thousand, six hundred eighty-eight".