344444686444443 has 32 divisors (see below), whose sum is σ = 501079943246400. Its totient is φ = 209196784742400.

The previous prime is 344444686444387. The next prime is 344444686444493.

344444686444443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344444686444443 - 2¹⁰ = 344444686443419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344444686444493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138455118 + ... + 140920931.

It is an arithmetic number, because the mean of its divisors is an integer number (15658748226450).

Almost surely, 2^{344444686444443} is an apocalyptic number.

344444686444443 is a deficient number, since it is larger than the sum of its proper divisors (156635256801957).

344444686444443 is a wasteful number, since it uses less digits than its factorization.

344444686444443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279376479.

The product of its digits is 2717908992, while the sum is 66.

The spelling of 344444686444443 in words is "three hundred forty-four trillion, four hundred forty-four billion, six hundred eighty-six million, four hundred forty-four thousand, four hundred forty-three".