864541173863817 has 12 divisors (see below), whose sum is σ = 1248782469628980. Its totient is φ = 576360425323008.

The previous prime is 864541173863713. The next prime is 864541173863821. The reversal of 864541173863817 is 718368371145468.

It is a happy number.

864541173863817 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 411 + 73 + 8 + 63 + 81 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 658564111550016 + 205977062313801 = 25662504^2 + 14351901^2 .

It is not a de Polignac number, because 864541173863817 - 2⁸ = 864541173863561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (864541173863867) 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, 14005168 + ... + 43877409.

It is an arithmetic number, because the mean of its divisors is an integer number (104065205802415).

Almost surely, 2^{864541173863817} is an apocalyptic number.

It is an amenable number.

864541173863817 is a deficient number, since it is larger than the sum of its proper divisors (384241295765163).

864541173863817 is a wasteful number, since it uses less digits than its factorization.

864541173863817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59542152 (or 59542149 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 864541173863817 in words is "eight hundred sixty-four trillion, five hundred forty-one billion, one hundred seventy-three million, eight hundred sixty-three thousand, eight hundred seventeen".