844047740448 has 192 divisors, whose sum is σ = 2686181097600. Its totient is φ = 255717319680.

The previous prime is 844047740443. The next prime is 844047740519.

844047740448 is a `hidden beast` number, since 84 + 40 + 47 + 7 + 40 + 448 = 666.

844047740448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 844047740394 and 844047740403.

It is not an unprimeable number, because it can be changed into a prime (844047740443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78811318 + ... + 78822026.

It is an arithmetic number, because the mean of its divisors is an integer number (13990526550).

Almost surely, 2^844047740448 is an apocalyptic number.

844047740448 is a gapful number since it is divisible by the number (88) 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 844047740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343090548800).

844047740448 is an abundant number, since it is smaller than the sum of its proper divisors (1842133357152).

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

844047740448 is a wasteful number, since it uses less digits than its factorization.

844047740448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19032 (or 19018 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 54.

The spelling of 844047740448 in words is "eight hundred forty-four billion, forty-seven million, seven hundred forty thousand, four hundred forty-eight".