344443343344443 has 64 divisors (see below), whose sum is σ = 583538359680000. Its totient is φ = 196705375776000.

The previous prime is 344443343344271. The next prime is 344443343344459.

344443343344443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344443343344443 - 2²⁹ = 344442806473531 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344443343344443.

It is not an unprimeable number, because it can be changed into a prime (344443343344483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2096998183 + ... + 2097162431.

It is an arithmetic number, because the mean of its divisors is an integer number (9117786870000).

Almost surely, 2^{344443343344443} is an apocalyptic number.

344443343344443 is a deficient number, since it is larger than the sum of its proper divisors (239095016335557).

344443343344443 is a wasteful number, since it uses less digits than its factorization.

344443343344443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170929 (or 170923 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 54.

The spelling of 344443343344443 in words is "three hundred forty-four trillion, four hundred forty-three billion, three hundred forty-three million, three hundred forty-four thousand, four hundred forty-three".