844225522448 has 160 divisors (see below), whose sum is σ = 2110506347520. Its totient is φ = 317443392000.

The previous prime is 844225522421. The next prime is 844225522453.

844225522448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 844225522396 and 844225522405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140443763 + ... + 140449773.

It is an arithmetic number, because the mean of its divisors is an integer number (13190664672).

Almost surely, 2^844225522448 is an apocalyptic number.

844225522448 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 844225522448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055253173760).

844225522448 is an abundant number, since it is smaller than the sum of its proper divisors (1266280825072).

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

844225522448 is a wasteful number, since it uses less digits than its factorization.

844225522448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997 (or 9991 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The spelling of 844225522448 in words is "eight hundred forty-four billion, two hundred twenty-five million, five hundred twenty-two thousand, four hundred forty-eight".