8384875792201 has 2 divisors, whose sum is σ = 8384875792202. Its totient is φ = 8384875792200.

The previous prime is 8384875792187. The next prime is 8384875792297. The reversal of 8384875792201 is 1022975784838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8255416154176 + 129459638025 = 2873224^2 + 359805^2 .

It is a cyclic number.

It is not a de Polignac number, because 8384875792201 - 2⁹ = 8384875791689 is a prime.

It is a super-3 number, since 3×8384875792201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (8384875792001) 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 as a sum of consecutive naturals, namely, 4192437896100 + 4192437896101.

It is an arithmetic number, because the mean of its divisors is an integer number (4192437896101).

Almost surely, 2^{8384875792201} is an apocalyptic number.

It is an amenable number.

8384875792201 is a deficient number, since it is larger than the sum of its proper divisors (1).

8384875792201 is an equidigital number, since it uses as much as digits as its factorization.

8384875792201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 8384875792201 in words is "eight trillion, three hundred eighty-four billion, eight hundred seventy-five million, seven hundred ninety-two thousand, two hundred one".