13644333344631 has 32 divisors (see below), whose sum is σ = 19950220224000. Its totient is φ = 8226011566080.

The previous prime is 13644333344611. The next prime is 13644333344687.

It is a happy number.

13644333344631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13644333344631 - 2⁶ = 13644333344567 is a prime.

It is a super-2 number, since 2×13644333344631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644333344611) 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, 31417575 + ... + 31848903.

It is an arithmetic number, because the mean of its divisors is an integer number (623444382000).

Almost surely, 2^{13644333344631} is an apocalyptic number.

13644333344631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13644333344631 is a deficient number, since it is larger than the sum of its proper divisors (6305886879369).

13644333344631 is a wasteful number, since it uses less digits than its factorization.

13644333344631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436359.

The product of its digits is 6718464, while the sum is 48.

The spelling of 13644333344631 in words is "thirteen trillion, six hundred forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, six hundred thirty-one".