844066561104 has 240 divisors, whose sum is σ = 2662983558144. Its totient is φ = 247793817600.

The previous prime is 844066561097. The next prime is 844066561133. The reversal of 844066561104 is 401165660448.

844066561104 is a `hidden beast` number, since 84 + 4 + 0 + 6 + 6 + 561 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 844066561104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4017844 + ... + 4222700.

Almost surely, 2^844066561104 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 844066561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331491779072).

844066561104 is an abundant number, since it is smaller than the sum of its proper divisors (1818916997040).

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

844066561104 is a wasteful number, since it uses less digits than its factorization.

844066561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204986 (or 204977 counting only the distinct ones).

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

The spelling of 844066561104 in words is "eight hundred forty-four billion, sixty-six million, five hundred sixty-one thousand, one hundred four".