9838765983329 has 2 divisors, whose sum is σ = 9838765983330. Its totient is φ = 9838765983328.

The previous prime is 9838765983253. The next prime is 9838765983401. The reversal of 9838765983329 is 9233895678389.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7360260480400 + 2478505502929 = 2712980^2 + 1574327^2 .

It is a cyclic number.

It is not a de Polignac number, because 9838765983329 - 2²⁰ = 9838764934753 is a prime.

It is not a weakly prime, because it can be changed into another prime (9838765989329) 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 as a sum of consecutive naturals, namely, 4919382991664 + 4919382991665.

It is an arithmetic number, because the mean of its divisors is an integer number (4919382991665).

Almost surely, 2^{9838765983329} is an apocalyptic number.

It is an amenable number.

9838765983329 is a deficient number, since it is larger than the sum of its proper divisors (1).

9838765983329 is an equidigital number, since it uses as much as digits as its factorization.

9838765983329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4232632320, while the sum is 80.

The spelling of 9838765983329 in words is "nine trillion, eight hundred thirty-eight billion, seven hundred sixty-five million, nine hundred eighty-three thousand, three hundred twenty-nine".