844455554448 has 320 divisors, whose sum is σ = 2550303055872. Its totient is φ = 237940899840.

The previous prime is 844455554407. The next prime is 844455554483.

844455554448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 844455554391 and 844455554400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533451865 + ... + 533453447.

Almost surely, 2^844455554448 is an apocalyptic number.

844455554448 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 844455554448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275151527936).

844455554448 is an abundant number, since it is smaller than the sum of its proper divisors (1705847501424).

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

844455554448 is a wasteful number, since it uses less digits than its factorization.

844455554448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 60.

The spelling of 844455554448 in words is "eight hundred forty-four billion, four hundred fifty-five million, five hundred fifty-four thousand, four hundred forty-eight".