104581556352 has 1024 divisors, whose sum is σ = 415870156800. Its totient is φ = 25082265600.

The previous prime is 104581556297. The next prime is 104581556377. The reversal of 104581556352 is 253655185401.

104581556352 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 1 + 5 + 5 + 635 + 2 = 666.

104581556352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 104581556298 and 104581556307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165739077 + ... + 165739707.

It is an arithmetic number, because the mean of its divisors is an integer number (406123200).

Almost surely, 2^104581556352 is an apocalyptic number.

104581556352 is a gapful number since it is divisible by the number (12) 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 104581556352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207935078400).

104581556352 is an abundant number, since it is smaller than the sum of its proper divisors (311288600448).

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

104581556352 is a wasteful number, since it uses less digits than its factorization.

104581556352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 104581556352 in words is "one hundred four billion, five hundred eighty-one million, five hundred fifty-six thousand, three hundred fifty-two".