8444434344448 has 20 divisors (see below), whose sum is σ = 16872375654090. Its totient is φ = 4222217171968.

The previous prime is 8444434344443. The next prime is 8444434344457.

8444434344448 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8389318330624 + 55116013824 = 2896432^2 + 234768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8444434344392 and 8444434344401.

It is not an unprimeable number, because it can be changed into a prime (8444434344443) 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 as a sum of consecutive naturals, namely, 8246517403 + ... + 8246518426.

Almost surely, 2^{8444434344448} is an apocalyptic number.

It is an amenable number.

8444434344448 is a deficient number, since it is larger than the sum of its proper divisors (8427941309642).

8444434344448 is an equidigital number, since it uses as much as digits as its factorization.

8444434344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493035847 (or 16493035831 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 58.

The spelling of 8444434344448 in words is "eight trillion, four hundred forty-four billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred forty-eight".