13434766743431 has 32 divisors (see below), whose sum is σ = 15435213880320. Its totient is φ = 11677780218720.

The previous prime is 13434766743413. The next prime is 13434766743457.

13434766743431 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-13434766743431 is a prime.

It is a super-2 number, since 2×13434766743431² (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 (13434766743491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2286086 + ... + 5665308.

It is an arithmetic number, because the mean of its divisors is an integer number (482350433760).

Almost surely, 2^{13434766743431} is an apocalyptic number.

13434766743431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13434766743431 is a deficient number, since it is larger than the sum of its proper divisors (2000447136889).

13434766743431 is a wasteful number, since it uses less digits than its factorization.

13434766743431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379388 (or 3379366 counting only the distinct ones).

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

The spelling of 13434766743431 in words is "thirteen trillion, four hundred thirty-four billion, seven hundred sixty-six million, seven hundred forty-three thousand, four hundred thirty-one".