13444444444431 has 256 divisors, whose sum is σ = 25172467052544. Its totient is φ = 6209913600000.

The previous prime is 13444444444429. The next prime is 13444444444481.

13444444444431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13444444444431 - 2¹ = 13444444444429 is a prime.

It is a super-2 number, since 2×13444444444431² (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 (13444444444421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1357882581 + ... + 1357892481.

It is an arithmetic number, because the mean of its divisors is an integer number (98329949424).

Almost surely, 2^{13444444444431} is an apocalyptic number.

13444444444431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13444444444431 is a deficient number, since it is larger than the sum of its proper divisors (11728022608113).

13444444444431 is a wasteful number, since it uses less digits than its factorization.

13444444444431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10073 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

It can be divided in two parts, 1344444 and 4444431, that added together give a palindrome (5788875).

The spelling of 13444444444431 in words is "thirteen trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred thirty-one".