344431121134443 has 32 divisors (see below), whose sum is σ = 561222986688000. Its totient is φ = 183406204761600.

The previous prime is 344431121134391. The next prime is 344431121134447.

344431121134443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344431121134443 - 2²⁰ = 344431120085867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344431121134395 and 344431121134404.

It is not an unprimeable number, because it can be changed into a prime (344431121134447) 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, 4776167193 + ... + 4776239306.

It is an arithmetic number, because the mean of its divisors is an integer number (17538218334000).

Almost surely, 2^{344431121134443} is an apocalyptic number.

344431121134443 is a deficient number, since it is larger than the sum of its proper divisors (216791865553557).

344431121134443 is a wasteful number, since it uses less digits than its factorization.

344431121134443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552406627.

The product of its digits is 663552, while the sum is 42.

The spelling of 344431121134443 in words is "three hundred forty-four trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-four thousand, four hundred forty-three".