13644344344631 has 32 divisors (see below), whose sum is σ = 18339025356288. Its totient is φ = 9803749760640.

The previous prime is 13644344344613. The next prime is 13644344344651.

13644344344631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13644344344631 - 2¹⁰ = 13644344343607 is a prime.

It is a super-2 number, since 2×13644344344631² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13644344344631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644344344651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6248840 + ... + 8144733.

It is an arithmetic number, because the mean of its divisors is an integer number (573094542384).

Almost surely, 2^{13644344344631} is an apocalyptic number.

13644344344631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13644344344631 is a deficient number, since it is larger than the sum of its proper divisors (4694681011657).

13644344344631 is a wasteful number, since it uses less digits than its factorization.

13644344344631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14394551.

The product of its digits is 11943936, while the sum is 50.

The spelling of 13644344344631 in words is "thirteen trillion, six hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, six hundred thirty-one".