13443677634431 has 16 divisors (see below), whose sum is σ = 15144573966720. Its totient is φ = 11827787015520.

The previous prime is 13443677634391. The next prime is 13443677634433.

13443677634431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13443677634431 is a prime.

It is a super-2 number, since 2×13443677634431² (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 (13443677634433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130325285 + ... + 130428398.

It is an arithmetic number, because the mean of its divisors is an integer number (946535872920).

Almost surely, 2^{13443677634431} is an apocalyptic number.

13443677634431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13443677634431 is a deficient number, since it is larger than the sum of its proper divisors (1700896332289).

13443677634431 is a wasteful number, since it uses less digits than its factorization.

13443677634431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260753846.

The product of its digits is 36578304, while the sum is 56.

It can be divided in two parts, 1344367 and 7634431, that added together give a palindrome (8978798).

The spelling of 13443677634431 in words is "thirteen trillion, four hundred forty-three billion, six hundred seventy-seven million, six hundred thirty-four thousand, four hundred thirty-one".