3198960316593 has 12 divisors (see below), whose sum is σ = 4621411338180. Its totient is φ = 2132321342976.

The previous prime is 3198960316567. The next prime is 3198960316613. The reversal of 3198960316593 is 3956130698913.

3198960316593 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 9 + 6 + 0 + 31 + 6 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2399611668624 + 799348647969 = 1549068^2 + 894063^2 .

It is not a de Polignac number, because 3198960316593 - 2¹⁴ = 3198960300209 is a prime.

It is a super-3 number, since 3×3198960316593³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3198960316593.

It is not an unprimeable number, because it can be changed into a prime (3198960316393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26508796 + ... + 26629197.

It is an arithmetic number, because the mean of its divisors is an integer number (385117611515).

Almost surely, 2^{3198960316593} is an apocalyptic number.

It is an amenable number.

3198960316593 is a deficient number, since it is larger than the sum of its proper divisors (1422451021587).

3198960316593 is a wasteful number, since it uses less digits than its factorization.

3198960316593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53144688 (or 53144685 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 3198960316593 in words is "three trillion, one hundred ninety-eight billion, nine hundred sixty million, three hundred sixteen thousand, five hundred ninety-three".