113810658693264 has 320 divisors, whose sum is σ = 354293873740800. Its totient is φ = 34978658457600.

The previous prime is 113810658693233. The next prime is 113810658693283. The reversal of 113810658693264 is 462396856018311.

It is a happy number.

113810658693264 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 10 + 6 + 586 + 9 + 32 + 6 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 836092569 + ... + 836228679.

It is an arithmetic number, because the mean of its divisors is an integer number (1107168355440).

Almost surely, 2^{113810658693264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113810658693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177146936870400).

113810658693264 is an abundant number, since it is smaller than the sum of its proper divisors (240483215047536).

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

113810658693264 is a wasteful number, since it uses less digits than its factorization.

113810658693264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137048 (or 137010 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 113810658693264 in words is "one hundred thirteen trillion, eight hundred ten billion, six hundred fifty-eight million, six hundred ninety-three thousand, two hundred sixty-four".