344412343214443 has 16 divisors (see below), whose sum is σ = 405623750961600. Its totient is φ = 292287702840000.

The previous prime is 344412343214419. The next prime is 344412343214473.

344412343214443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344412343214443 - 2⁴⁵ = 309227971125611 is a prime.

It is a super-3 number, since 3×344412343214443³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344412343214393 and 344412343214402.

It is not an unprimeable number, because it can be changed into a prime (344412343214473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4970844658 + ... + 4970913943.

It is an arithmetic number, because the mean of its divisors is an integer number (25351484435100).

Almost surely, 2^{344412343214443} is an apocalyptic number.

344412343214443 is a deficient number, since it is larger than the sum of its proper divisors (61211407747157).

344412343214443 is an equidigital number, since it uses as much as digits as its factorization.

344412343214443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941758723 (or 9941758709 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

The spelling of 344412343214443 in words is "three hundred forty-four trillion, four hundred twelve billion, three hundred forty-three million, two hundred fourteen thousand, four hundred forty-three".