113722853326848 has 1536 divisors, whose sum is σ = 377097323731200. Its totient is φ = 33798557270016.

The previous prime is 113722853326787. The next prime is 113722853326877. The reversal of 113722853326848 is 848623358227311.

113722853326848 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 228 + 5 + 3 + 326 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 830093819836 + ... + 830093819972.

Almost surely, 2^{113722853326848} is an apocalyptic number.

113722853326848 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 113722853326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188548661865600).

113722853326848 is an abundant number, since it is smaller than the sum of its proper divisors (263374470404352).

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

113722853326848 is a wasteful number, since it uses less digits than its factorization.

113722853326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 297 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 113722853326848 in words is "one hundred thirteen trillion, seven hundred twenty-two billion, eight hundred fifty-three million, three hundred twenty-six thousand, eight hundred forty-eight".