96916661969 has 16 divisors (see below), whose sum is σ = 100472744400. Its totient is φ = 93375120384.

The previous prime is 96916661929. The next prime is 96916661983.

96916661969 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 25058890000 + 71857771969 = 158300^2 + 268063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-96916661969 is a prime.

It is a super-2 number, since 2×96916661969² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96916661899 and 96916661908.

It is not an unprimeable number, because it can be changed into a prime (96916661929) 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 15 ways as a sum of consecutive naturals, for example, 45350669 + ... + 45352805.

It is an arithmetic number, because the mean of its divisors is an integer number (6279546525).

Almost surely, 2^96916661969 is an apocalyptic number.

It is an amenable number.

96916661969 is a deficient number, since it is larger than the sum of its proper divisors (3556082431).

96916661969 is a wasteful number, since it uses less digits than its factorization.

96916661969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772.

The product of its digits is 51018336, while the sum is 68.

The spelling of 96916661969 in words is "ninety-six billion, nine hundred sixteen million, six hundred sixty-one thousand, nine hundred sixty-nine".