966495606594669 has 48 divisors (see below), whose sum is σ = 1483907358838320. Its totient is φ = 605018159585280.

The previous prime is 966495606594667. The next prime is 966495606594719.

It is a happy number.

966495606594669 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 9 + 5 + 6 + 0 + 6 + 594 + 6 + 6 + 9 = 666.

966495606594669 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1582531292169 + 964913075302500 = 1257987^2 + 31063050^2 .

It is not a de Polignac number, because 966495606594669 - 2¹ = 966495606594667 is a prime.

It is a super-2 number, since 2×966495606594669² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966495606594667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287722 + ... + 44025275.

It is an arithmetic number, because the mean of its divisors is an integer number (30914736642465).

Almost surely, 2^{966495606594669} is an apocalyptic number.

It is an amenable number.

966495606594669 is a deficient number, since it is larger than the sum of its proper divisors (517411752243651).

966495606594669 is a wasteful number, since it uses less digits than its factorization.

966495606594669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46315230 (or 46315227 counting only the distinct ones).

The product of its (nonzero) digits is 122444006400, while the sum is 90.

The spelling of 966495606594669 in words is "nine hundred sixty-six trillion, four hundred ninety-five billion, six hundred six million, five hundred ninety-four thousand, six hundred sixty-nine".