17679585346399 has 8 divisors (see below), whose sum is σ = 17704222373168. Its totient is φ = 17654951704320.

The previous prime is 17679585346391. The next prime is 17679585346433. The reversal of 17679585346399 is 99364358597671.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17679585346399 - 2³ = 17679585346391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17679585346391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9699364 + ... + 11377030.

It is an arithmetic number, because the mean of its divisors is an integer number (2213027796646).

Almost surely, 2^{17679585346399} is an apocalyptic number.

17679585346399 is a deficient number, since it is larger than the sum of its proper divisors (24637026769).

17679585346399 is a wasteful number, since it uses less digits than its factorization.

17679585346399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692345.

The product of its digits is 9258883200, while the sum is 82.

The spelling of 17679585346399 in words is "seventeen trillion, six hundred seventy-nine billion, five hundred eighty-five million, three hundred forty-six thousand, three hundred ninety-nine".