844811130744 has 384 divisors, whose sum is σ = 2769164236800. Its totient is φ = 227465441280.

The previous prime is 844811130743. The next prime is 844811130763. The reversal of 844811130744 is 447031118448.

844811130744 is a `hidden beast` number, since 8 + 448 + 1 + 1 + 130 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 844811130744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844811130743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320853652 + ... + 320856284.

It is an arithmetic number, because the mean of its divisors is an integer number (7211365200).

Almost surely, 2^844811130744 is an apocalyptic number.

844811130744 is a gapful number since it is divisible by the number (84) 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 844811130744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384582118400).

844811130744 is an abundant number, since it is smaller than the sum of its proper divisors (1924353106056).

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

844811130744 is a wasteful number, since it uses less digits than its factorization.

844811130744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 844811130744 in words is "eight hundred forty-four billion, eight hundred eleven million, one hundred thirty thousand, seven hundred forty-four".