966163505361669 has 24 divisors (see below), whose sum is σ = 1433294870155512. Its totient is φ = 626697474387840.

The previous prime is 966163505361623. The next prime is 966163505361683.

966163505361669 is a `hidden beast` number, since 9 + 6 + 6 + 16 + 3 + 5 + 0 + 536 + 16 + 69 = 666.

966163505361669 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 23486962932225 + 942676542429444 = 4846335^2 + 30703038^2 .

It is not a de Polignac number, because 966163505361669 - 2⁷ = 966163505361541 is a prime.

It is a super-2 number, since 2×966163505361669² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 966163505361597 and 966163505361606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966163505361169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59321779 + ... + 73833599.

It is an arithmetic number, because the mean of its divisors is an integer number (59720619589813).

Almost surely, 2^{966163505361669} is an apocalyptic number.

It is an amenable number.

966163505361669 is a deficient number, since it is larger than the sum of its proper divisors (467131364793843).

966163505361669 is a wasteful number, since it uses less digits than its factorization.

966163505361669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14711797 (or 14711794 counting only the distinct ones).

The product of its (nonzero) digits is 850305600, while the sum is 72.

The spelling of 966163505361669 in words is "nine hundred sixty-six trillion, one hundred sixty-three billion, five hundred five million, three hundred sixty-one thousand, six hundred sixty-nine".