16584942561 has 24 divisors (see below), whose sum is σ = 24318303072. Its totient is φ = 10046520000.

The previous prime is 16584942527. The next prime is 16584942571. The reversal of 16584942561 is 16524948561.

16584942561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16584942561 - 2¹⁸ = 16584680417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16584942571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806965 + ... + 827261.

It is an arithmetic number, because the mean of its divisors is an integer number (1013262628).

Almost surely, 2^16584942561 is an apocalyptic number.

16584942561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16584942561 is a deficient number, since it is larger than the sum of its proper divisors (7733360511).

16584942561 is a wasteful number, since it uses less digits than its factorization.

16584942561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573 (or 22562 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 16584942561 in words is "sixteen billion, five hundred eighty-four million, nine hundred forty-two thousand, five hundred sixty-one".