14431633613441 has 16 divisors (see below), whose sum is σ = 15802616592000. Its totient is φ = 13070489712000.

The previous prime is 14431633613429. The next prime is 14431633613461.

It is a happy number.

14431633613441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14431633613441 - 2⁴² = 10033587102337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14431633613392 and 14431633613401.

It is not an unprimeable number, because it can be changed into a prime (14431633613461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137982116 + ... + 138086666.

It is an arithmetic number, because the mean of its divisors is an integer number (987663537000).

Almost surely, 2^{14431633613441} is an apocalyptic number.

14431633613441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14431633613441 is a deficient number, since it is larger than the sum of its proper divisors (1370982978559).

14431633613441 is a wasteful number, since it uses less digits than its factorization.

14431633613441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151480.

The product of its digits is 746496, while the sum is 44.

The spelling of 14431633613441 in words is "fourteen trillion, four hundred thirty-one billion, six hundred thirty-three million, six hundred thirteen thousand, four hundred forty-one".