14441344314441 has 32 divisors (see below), whose sum is σ = 21598310043648. Its totient is φ = 8505912162240.

The previous prime is 14441344314413. The next prime is 14441344314451.

14441344314441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14441344314441 - 2⁶ = 14441344314377 is a prime.

It is a super-2 number, since 2×14441344314441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14441344314393 and 14441344314402.

It is not an unprimeable number, because it can be changed into a prime (14441344314451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5798811 + ... + 7906256.

It is an arithmetic number, because the mean of its divisors is an integer number (674947188864).

Almost surely, 2^{14441344314441} is an apocalyptic number.

14441344314441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14441344314441 is a deficient number, since it is larger than the sum of its proper divisors (7156965729207).

14441344314441 is a wasteful number, since it uses less digits than its factorization.

14441344314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705981.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 1444134 and 4314441, that added together give a palindrome (5758575).

The spelling of 14441344314441 in words is "fourteen trillion, four hundred forty-one billion, three hundred forty-four million, three hundred fourteen thousand, four hundred forty-one".