14444133144441 has 32 divisors (see below), whose sum is σ = 25858028571648. Its totient is φ = 6926257650240.

The previous prime is 14444133144431. The next prime is 14444133144457.

14444133144441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14444133144441 - 2⁶ = 14444133144377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14444133144393 and 14444133144402.

It is not an unprimeable number, because it can be changed into a prime (14444133144421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2404947571 + ... + 2404953576.

It is an arithmetic number, because the mean of its divisors is an integer number (808063392864).

Almost surely, 2^{14444133144441} is an apocalyptic number.

14444133144441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14444133144441 is a deficient number, since it is larger than the sum of its proper divisors (11413895427207).

14444133144441 is a wasteful number, since it uses less digits than its factorization.

14444133144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809901181.

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

It can be divided in two parts, 1444413 and 3144441, that added together give a palindrome (4588854).

The spelling of 14444133144441 in words is "fourteen trillion, four hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred forty-one".