13066318864 has 75 divisors (see below), whose sum is σ = 27565086385. Its totient is φ = 5998883840.

The previous prime is 13066318849. The next prime is 13066318871. The reversal of 13066318864 is 46881366031.

The square root of 13066318864 is 114308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 13037072400 + 29246464 = 114180^2 + 5408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 318690684 + ... + 318690724.

Almost surely, 2^13066318864 is an apocalyptic number.

13066318864 is the 114308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066318864

13066318864 is an abundant number, since it is smaller than the sum of its proper divisors (14498767521).

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

13066318864 is an frugal number, since it uses more digits than its factorization.

13066318864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 13066318864 in words is "thirteen billion, sixty-six million, three hundred eighteen thousand, eight hundred sixty-four".