13405215664 has 20 divisors (see below), whose sum is σ = 26868213360. Its totient is φ = 6471483200.

The previous prime is 13405215661. The next prime is 13405215679. The reversal of 13405215664 is 46651250431.

13405215664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13405215661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14444812 + ... + 14445739.

It is an arithmetic number, because the mean of its divisors is an integer number (1343410668).

Almost surely, 2^13405215664 is an apocalyptic number.

It is an amenable number.

13405215664 is an abundant number, since it is smaller than the sum of its proper divisors (13462997696).

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

13405215664 is a wasteful number, since it uses less digits than its factorization.

13405215664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28890588 (or 28890582 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13405215664 in words is "thirteen billion, four hundred five million, two hundred fifteen thousand, six hundred sixty-four".