844113311448 has 64 divisors (see below), whose sum is σ = 2423291817600. Its totient is φ = 242329178880.

The previous prime is 844113311413. The next prime is 844113311449.

844113311448 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844113311449) 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, 84137061 + ... + 84147092.

It is an arithmetic number, because the mean of its divisors is an integer number (37863934650).

Almost surely, 2^844113311448 is an apocalyptic number.

844113311448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844113311448 is an abundant number, since it is smaller than the sum of its proper divisors (1579178506152).

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

844113311448 is a wasteful number, since it uses less digits than its factorization.

844113311448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168284192 (or 168284188 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 844113311448 in words is "eight hundred forty-four billion, one hundred thirteen million, three hundred eleven thousand, four hundred forty-eight".