966816761805 has 30 divisors (see below), whose sum is σ = 1733144037966. Its totient is φ = 515625052752.

The previous prime is 966816761803. The next prime is 966816761819. The reversal of 966816761805 is 508167618669.

966816761805 is a `hidden beast` number, since 9 + 6 + 6 + 8 + 1 + 6 + 7 + 618 + 0 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 773453409444 + 193363352361 = 879462^2 + 439731^2 .

It is not a de Polignac number, because 966816761805 - 2¹ = 966816761803 is a prime.

It is a super-2 number, since 2×966816761805² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966816761803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19763466 + ... + 19812324.

Almost surely, 2^966816761805 is an apocalyptic number.

It is an amenable number.

966816761805 is a deficient number, since it is larger than the sum of its proper divisors (766327276161).

966816761805 is an frugal number, since it uses more digits than its factorization.

966816761805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97735 (or 48867 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 966816761805 in words is "nine hundred sixty-six billion, eight hundred sixteen million, seven hundred sixty-one thousand, eight hundred five".