966550495689 has 45 divisors (see below), whose sum is σ = 1452649374693. Its totient is φ = 640467891648.

The previous prime is 966550495663. The next prime is 966550495693. The reversal of 966550495689 is 986594055669.

The square root of 966550495689 is 983133.

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

966550495689 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 50 + 4 + 9 + 568 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191988567225 + 774561928464 = 438165^2 + 880092^2 .

It is not a de Polignac number, because 966550495689 - 2²³ = 966542107081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966550415689) 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 44 ways as a sum of consecutive naturals, for example, 2769485487 + ... + 2769485835.

Almost surely, 2^966550495689 is an apocalyptic number.

966550495689 is the 983133-rd square number.

966550495689 is the 491567-th centered octagonal number.

It is an amenable number.

966550495689 is a deficient number, since it is larger than the sum of its proper divisors (486098879004).

966550495689 is an frugal number, since it uses more digits than its factorization.

966550495689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 966550495689 in words is "nine hundred sixty-six billion, five hundred fifty million, four hundred ninety-five thousand, six hundred eighty-nine".