104433944256 has 252 divisors, whose sum is σ = 316519880040. Its totient is φ = 32915097600.

The previous prime is 104433944227. The next prime is 104433944257. The reversal of 104433944256 is 652449334401.

104433944256 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 394 + 4 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (104433944257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27116731 + ... + 27120581.

It is an arithmetic number, because the mean of its divisors is an integer number (1256031270).

Almost surely, 2^104433944256 is an apocalyptic number.

104433944256 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 104433944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158259940020).

104433944256 is an abundant number, since it is smaller than the sum of its proper divisors (212085935784).

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

104433944256 is a wasteful number, since it uses less digits than its factorization.

104433944256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 104433944256 in words is "one hundred four billion, four hundred thirty-three million, nine hundred forty-four thousand, two hundred fifty-six".