8685116217 has 24 divisors (see below), whose sum is σ = 13015146144. Its totient is φ = 5787700128.

The previous prime is 8685116177. The next prime is 8685116249. The reversal of 8685116217 is 7126115868.

8685116217 is a `hidden beast` number, since 8 + 6 + 8 + 5 + 11 + 621 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-8685116217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8685116287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743373 + ... + 754965.

It is an arithmetic number, because the mean of its divisors is an integer number (542297756).

Almost surely, 2^8685116217 is an apocalyptic number.

It is an amenable number.

8685116217 is a deficient number, since it is larger than the sum of its proper divisors (4330029927).

8685116217 is a wasteful number, since it uses less digits than its factorization.

8685116217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14679 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 8685116217 is about 93193.9709262354. The cubic root of 8685116217 is about 2055.5365874605.

The spelling of 8685116217 in words is "eight billion, six hundred eighty-five million, one hundred sixteen thousand, two hundred seventeen".