14431344313441 has 32 divisors (see below), whose sum is σ = 16738997293440. Its totient is φ = 12296141798400.

The previous prime is 14431344313387. The next prime is 14431344313447.

14431344313441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14431344313441 - 2²¹ = 14431342216289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14431344313394 and 14431344313403.

It is not an unprimeable number, because it can be changed into a prime (14431344313447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92590546 + ... + 92746276.

It is an arithmetic number, because the mean of its divisors is an integer number (523093665420).

Almost surely, 2^{14431344313441} is an apocalyptic number.

14431344313441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14431344313441 is a deficient number, since it is larger than the sum of its proper divisors (2307652979999).

14431344313441 is a wasteful number, since it uses less digits than its factorization.

14431344313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157825.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1443134 and 4313441, that added together give a palindrome (5756575).

The spelling of 14431344313441 in words is "fourteen trillion, four hundred thirty-one billion, three hundred forty-four million, three hundred thirteen thousand, four hundred forty-one".