13406403130164 has 54 divisors (see below), whose sum is σ = 37249241767010. Its totient is φ = 4062546401760.

The previous prime is 13406403130111. The next prime is 13406403130171. The reversal of 13406403130164 is 46103130460431.

13406403130164 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 640 + 3 + 1 + 3 + 0 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10209673686564 + 3196729443600 = 3195258^2 + 1787940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1538838979 + ... + 1538847690.

Almost surely, 2^{13406403130164} is an apocalyptic number.

It is an amenable number.

13406403130164 is an abundant number, since it is smaller than the sum of its proper divisors (23842838636846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13406403130164 is a wasteful number, since it uses less digits than its factorization.

13406403130164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077686701 (or 3077686685 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 13406403130164 its reverse (46103130460431), we get a palindrome (59509533590595).

The spelling of 13406403130164 in words is "thirteen trillion, four hundred six billion, four hundred three million, one hundred thirty thousand, one hundred sixty-four".