844844448448 has 224 divisors, whose sum is σ = 2254105728000. Its totient is φ = 303414128640.

The previous prime is 844844448443. The next prime is 844844448473.

844844448448 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 844844448448.

It is not an unprimeable number, because it can be changed into a prime (844844448443) 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, 47590678 + ... + 47608426.

It is an arithmetic number, because the mean of its divisors is an integer number (10062972000).

Almost surely, 2^844844448448 is an apocalyptic number.

844844448448 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 844844448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127052864000).

844844448448 is an abundant number, since it is smaller than the sum of its proper divisors (1409261279552).

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

844844448448 is a wasteful number, since it uses less digits than its factorization.

844844448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18535 (or 18525 counting only the distinct ones).

The product of its digits is 268435456, while the sum is 64.

The spelling of 844844448448 in words is "eight hundred forty-four billion, eight hundred forty-four million, four hundred forty-eight thousand, four hundred forty-eight".