13506406462711 has 16 divisors (see below), whose sum is σ = 14424719047200. Its totient is φ = 12627700001280.

The previous prime is 13506406462699. The next prime is 13506406462727. The reversal of 13506406462711 is 11726460460531.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13506406462711 is a prime.

It is a super-2 number, since 2×13506406462711² (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 (13506406462771) 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, 72180486 + ... + 72367363.

It is an arithmetic number, because the mean of its divisors is an integer number (901544940450).

Almost surely, 2^{13506406462711} is an apocalyptic number.

13506406462711 is a deficient number, since it is larger than the sum of its proper divisors (918312584489).

13506406462711 is a wasteful number, since it uses less digits than its factorization.

13506406462711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144547986.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 13506406462711 in words is "thirteen trillion, five hundred six billion, four hundred six million, four hundred sixty-two thousand, seven hundred eleven".