86284670564817 has 12 divisors (see below), whose sum is σ = 125031602860164. Its totient is φ = 57339333792000.

The previous prime is 86284670564809. The next prime is 86284670564861. The reversal of 86284670564817 is 71846507648268.

86284670564817 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 46 + 7 + 0 + 564 + 8 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1842097703121 + 84442572861696 = 1357239^2 + 9189264^2 .

It is not a de Polignac number, because 86284670564817 - 2³ = 86284670564809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86284670564887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15314990184 + ... + 15314995817.

It is an arithmetic number, because the mean of its divisors is an integer number (10419300238347).

Almost surely, 2^{86284670564817} is an apocalyptic number.

It is an amenable number.

86284670564817 is a deficient number, since it is larger than the sum of its proper divisors (38746932295347).

86284670564817 is a wasteful number, since it uses less digits than its factorization.

86284670564817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30629986320 (or 30629986317 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 86284670564817 in words is "eighty-six trillion, two hundred eighty-four billion, six hundred seventy million, five hundred sixty-four thousand, eight hundred seventeen".