113325686784 has 360 divisors, whose sum is σ = 341642373072. Its totient is φ = 36168007680.

The previous prime is 113325686717. The next prime is 113325686801. The reversal of 113325686784 is 487686523311.

113325686784 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 568 + 6 + 78 + 4 = 666.

It is a super-2 number, since 2×113325686784² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113325686784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386776942 + ... + 386777234.

Almost surely, 2^113325686784 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 113325686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170821186536).

113325686784 is an abundant number, since it is smaller than the sum of its proper divisors (228316686288).

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

113325686784 is an equidigital number, since it uses as much as digits as its factorization.

113325686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 402 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 113325686784 in words is "one hundred thirteen billion, three hundred twenty-five million, six hundred eighty-six thousand, seven hundred eighty-four".