844676676448 has 48 divisors (see below), whose sum is σ = 1838986356816. Its totient is φ = 378684426240.

The previous prime is 844676676421. The next prime is 844676676449.

844676676448 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844676676449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16410261 + ... + 16461652.

It is an arithmetic number, because the mean of its divisors is an integer number (38312215767).

Almost surely, 2^844676676448 is an apocalyptic number.

844676676448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844676676448 is an abundant number, since it is smaller than the sum of its proper divisors (994309680368).

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

844676676448 is a wasteful number, since it uses less digits than its factorization.

844676676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32872007 (or 32871999 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 70.

The spelling of 844676676448 in words is "eight hundred forty-four billion, six hundred seventy-six million, six hundred seventy-six thousand, four hundred forty-eight".