13478666687431 has 16 divisors (see below), whose sum is σ = 14724473251968. Its totient is φ = 12236277765600.

The previous prime is 13478666687329. The next prime is 13478666687441.

13478666687431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13478666687431 - 2³¹ = 13476519203783 is a prime.

It is a super-2 number, since 2×13478666687431² (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 (13478666687441) 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 15 ways as a sum of consecutive naturals, for example, 50637616 + ... + 50903098.

It is an arithmetic number, because the mean of its divisors is an integer number (920279578248).

Almost surely, 2^{13478666687431} is an apocalyptic number.

13478666687431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13478666687431 is a deficient number, since it is larger than the sum of its proper divisors (1245806564537).

13478666687431 is a wasteful number, since it uses less digits than its factorization.

13478666687431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271902.

The product of its digits is 585252864, while the sum is 70.

The spelling of 13478666687431 in words is "thirteen trillion, four hundred seventy-eight billion, six hundred sixty-six million, six hundred eighty-seven thousand, four hundred thirty-one".