844313313448 has 64 divisors (see below), whose sum is σ = 1777750571520. Its totient is φ = 372608779200.

The previous prime is 844313313443. The next prime is 844313313551.

It is a happy number.

844313313448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 844313313398 and 844313313407.

It is not an unprimeable number, because it can be changed into a prime (844313313443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36118 + ... + 1299973.

It is an arithmetic number, because the mean of its divisors is an integer number (27777352680).

Almost surely, 2^844313313448 is an apocalyptic number.

844313313448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844313313448 is an abundant number, since it is smaller than the sum of its proper divisors (933437258072).

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

844313313448 is a wasteful number, since it uses less digits than its factorization.

844313313448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336318 (or 1336314 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 844313313448 in words is "eight hundred forty-four billion, three hundred thirteen million, three hundred thirteen thousand, four hundred forty-eight".