16667584609 has 9 divisors (see below), whose sum is σ = 18050148819. Its totient is φ = 15383913480.

The previous prime is 16667584603. The next prime is 16667584663. The reversal of 16667584609 is 90648576661.

The square root of 16667584609 is 129103.

It is a perfect power (a square), and thus also a powerful number.

16667584609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2465619025 + 14201965584 = 49655^2 + 119172^2 .

It is not a de Polignac number, because 16667584609 - 2⁹ = 16667584097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16667584603) 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 8 ways as a sum of consecutive naturals, for example, 1673374 + ... + 1683304.

It is an arithmetic number, because the mean of its divisors is an integer number (2005572091).

Almost surely, 2^16667584609 is an apocalyptic number.

16667584609 is the 129103-rd square number.

16667584609 is the 64552-nd centered octagonal number.

It is an amenable number.

16667584609 is a deficient number, since it is larger than the sum of its proper divisors (1382564210).

16667584609 is an frugal number, since it uses more digits than its factorization.

16667584609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 16667584609 in words is "sixteen billion, six hundred sixty-seven million, five hundred eighty-four thousand, six hundred nine".