10966343533209 has 9 divisors (see below), whose sum is σ = 15840288342463. Its totient is φ = 7310889065712.

The previous prime is 10966343533207. The next prime is 10966343533219. The reversal of 10966343533209 is 90233534366901.

The square root of 10966343533209 is 3311547.

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

10966343533209 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 63 + 43 + 533 + 2 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3610748638809 + 7355594894400 = 1900197^2 + 2712120^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10966343533209 - 2¹ = 10966343533207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10966343533207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9382717 + ... + 10486565.

Almost surely, 2^{10966343533209} is an apocalyptic number.

10966343533209 is the 3311547-th square number.

10966343533209 is the 1655774-th centered octagonal number.

It is an amenable number.

10966343533209 is a deficient number, since it is larger than the sum of its proper divisors (4873944809254).

10966343533209 is an frugal number, since it uses more digits than its factorization.

10966343533209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207704 (or 1103852 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 10966343533209 in words is "ten trillion, nine hundred sixty-six billion, three hundred forty-three million, five hundred thirty-three thousand, two hundred nine".