104841406656 has 504 divisors, whose sum is σ = 371782878480. Its totient is φ = 28067364864.

The previous prime is 104841406613. The next prime is 104841406679. The reversal of 104841406656 is 656604148401.

104841406656 is a `hidden beast` number, since 104 + 84 + 1 + 406 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×104841406656² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 169371915 + ... + 169372533.

Almost surely, 2^104841406656 is an apocalyptic number.

104841406656 is a gapful number since it is divisible by the number (16) 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 104841406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185891439240).

104841406656 is an abundant number, since it is smaller than the sum of its proper divisors (266941471824).

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

104841406656 is a wasteful number, since it uses less digits than its factorization.

104841406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 104841406656 in words is "one hundred four billion, eight hundred forty-one million, four hundred six thousand, six hundred fifty-six".