13465266256431 has 32 divisors (see below), whose sum is σ = 21954631011840. Its totient is φ = 8088548227200.

The previous prime is 13465266256381. The next prime is 13465266256457.

13465266256431 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 5 + 2 + 6 + 625 + 6 + 4 + 3 + 1 = 666.

13465266256431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13465266256431 - 2³⁸ = 13190388349487 is a prime.

It is a super-2 number, since 2×13465266256431² (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 (13465266251431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200575275 + ... + 200642396.

It is an arithmetic number, because the mean of its divisors is an integer number (686082219120).

Almost surely, 2^{13465266256431} is an apocalyptic number.

13465266256431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13465266256431 is a deficient number, since it is larger than the sum of its proper divisors (8489364755409).

13465266256431 is a wasteful number, since it uses less digits than its factorization.

13465266256431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401217804 (or 401217798 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 13465266256431 in words is "thirteen trillion, four hundred sixty-five billion, two hundred sixty-six million, two hundred fifty-six thousand, four hundred thirty-one".