96686566568669 has 32 divisors (see below), whose sum is σ = 120989591799552. Its totient is φ = 75062124288000.

The previous prime is 96686566568663. The next prime is 96686566568719.

96686566568669 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-96686566568669 is a prime.

It is a super-3 number, since 3×96686566568669³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96686566568663) 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 31 ways as a sum of consecutive naturals, for example, 44360909 + ... + 46489389.

It is an arithmetic number, because the mean of its divisors is an integer number (3780924743736).

Almost surely, 2^{96686566568669} is an apocalyptic number.

It is an amenable number.

96686566568669 is a deficient number, since it is larger than the sum of its proper divisors (24303025230883).

96686566568669 is a wasteful number, since it uses less digits than its factorization.

96686566568669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130677.

The product of its digits is 217678233600, while the sum is 92.

The spelling of 96686566568669 in words is "ninety-six trillion, six hundred eighty-six billion, five hundred sixty-six million, five hundred sixty-eight thousand, six hundred sixty-nine".