844411114448 has 80 divisors (see below), whose sum is σ = 1868300992512. Its totient is φ = 366210096000.

The previous prime is 844411114439. The next prime is 844411114483.

844411114448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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

It is a junction number, because it is equal to n+sod(n) for n = 844411114399 and 844411114408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702536 + ... + 1477287.

Almost surely, 2^844411114448 is an apocalyptic number.

844411114448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844411114448 is an abundant number, since it is smaller than the sum of its proper divisors (1023889878064).

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

844411114448 is a wasteful number, since it uses less digits than its factorization.

844411114448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179944 (or 2179938 counting only the distinct ones).

The product of its digits is 262144, while the sum is 44.

It can be divided in two parts, 844411 and 114448, that added together give a palindrome (958859).

The spelling of 844411114448 in words is "eight hundred forty-four billion, four hundred eleven million, one hundred fourteen thousand, four hundred forty-eight".