13664206144 has 28 divisors (see below), whose sum is σ = 28709906004. Its totient is φ = 6430214144.

The previous prime is 13664206139. The next prime is 13664206159. The reversal of 13664206144 is 44160246631.

13664206144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9055425600 + 4608780544 = 95160^2 + 67888^2 .

It is a congruent number.

It is an unprimeable number.

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, 6278419 + ... + 6280594.

Almost surely, 2^13664206144 is an apocalyptic number.

It is an amenable number.

13664206144 is an abundant number, since it is smaller than the sum of its proper divisors (15045699860).

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

13664206144 is a wasteful number, since it uses less digits than its factorization.

13664206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559042 (or 12559032 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 13664206144 in words is "thirteen billion, six hundred sixty-four million, two hundred six thousand, one hundred forty-four".