13436455463431 has 48 divisors (see below), whose sum is σ = 19164189219840. Its totient is φ = 9096078251520.

The previous prime is 13436455463411. The next prime is 13436455463437.

13436455463431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13436455463431 - 2⁹ = 13436455462919 is a prime.

It is a super-2 number, since 2×13436455463431² (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 (13436455463437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22933951 + ... + 23512528.

It is an arithmetic number, because the mean of its divisors is an integer number (399253942080).

Almost surely, 2^{13436455463431} is an apocalyptic number.

13436455463431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13436455463431 is a deficient number, since it is larger than the sum of its proper divisors (5727733756409).

13436455463431 is a wasteful number, since it uses less digits than its factorization.

13436455463431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46446544 (or 46446527 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 13436455463431 in words is "thirteen trillion, four hundred thirty-six billion, four hundred fifty-five million, four hundred sixty-three thousand, four hundred thirty-one".