816805584873 has 64 divisors (see below), whose sum is σ = 1238546880000. Its totient is φ = 531894325248.

The previous prime is 816805584863. The next prime is 816805584893. The reversal of 816805584873 is 378485508618.

816805584873 is a `hidden beast` number, since 8 + 1 + 6 + 8 + 0 + 558 + 4 + 8 + 73 = 666.

It is not a de Polignac number, because 816805584873 - 2⁵ = 816805584841 is a prime.

It is a super-2 number, since 2×816805584873² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 816805584873.

It is not an unprimeable number, because it can be changed into a prime (816805584853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103664748 + ... + 103672626.

It is an arithmetic number, because the mean of its divisors is an integer number (19352295000).

Almost surely, 2^816805584873 is an apocalyptic number.

It is an amenable number.

816805584873 is a deficient number, since it is larger than the sum of its proper divisors (421741295127).

816805584873 is a wasteful number, since it uses less digits than its factorization.

816805584873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 816805584873 in words is "eight hundred sixteen billion, eight hundred five million, five hundred eighty-four thousand, eight hundred seventy-three".