16585945796808 has 24 divisors (see below), whose sum is σ = 44920269866550. Its totient is φ = 5528648598912.

The previous prime is 16585945796789. The next prime is 16585945796809. The reversal of 16585945796808 is 80869754958561.

16585945796808 is a `hidden beast` number, since 1 + 6 + 5 + 85 + 9 + 457 + 9 + 6 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15514633855044 + 1071311941764 = 3938862^2 + 1035042^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (16585945796809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115180179073 + ... + 115180179216.

Almost surely, 2^{16585945796808} is an apocalyptic number.

16585945796808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16585945796808 is an abundant number, since it is smaller than the sum of its proper divisors (28334324069742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16585945796808 is a wasteful number, since it uses less digits than its factorization.

16585945796808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230360358301 (or 230360358294 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

The spelling of 16585945796808 in words is "sixteen trillion, five hundred eighty-five billion, nine hundred forty-five million, seven hundred ninety-six thousand, eight hundred eight".