13426222262431 has 64 divisors (see below), whose sum is σ = 15777612864000. Its totient is φ = 11329502108160.

The previous prime is 13426222262413. The next prime is 13426222262441.

13426222262431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13426222262431 - 2⁵ = 13426222262399 is a prime.

It is a super-2 number, since 2×13426222262431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426222262441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324210560 + ... + 1324220698.

It is an arithmetic number, because the mean of its divisors is an integer number (246525201000).

Almost surely, 2^{13426222262431} is an apocalyptic number.

13426222262431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13426222262431 is a deficient number, since it is larger than the sum of its proper divisors (2351390601569).

13426222262431 is a wasteful number, since it uses less digits than its factorization.

13426222262431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10503 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 13426222262431 in words is "thirteen trillion, four hundred twenty-six billion, two hundred twenty-two million, two hundred sixty-two thousand, four hundred thirty-one".