4098893546593 has 2 divisors, whose sum is σ = 4098893546594. Its totient is φ = 4098893546592.

The previous prime is 4098893546563. The next prime is 4098893546609. The reversal of 4098893546593 is 3956453988904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4046144319009 + 52749227584 = 2011503^2 + 229672^2 .

It is a cyclic number.

It is not a de Polignac number, because 4098893546593 - 2¹⁷ = 4098893415521 is a prime.

It is not a weakly prime, because it can be changed into another prime (4098893546563) 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, 2049446773296 + 2049446773297.

It is an arithmetic number, because the mean of its divisors is an integer number (2049446773297).

Almost surely, 2^{4098893546593} is an apocalyptic number.

It is an amenable number.

4098893546593 is a deficient number, since it is larger than the sum of its proper divisors (1).

4098893546593 is an equidigital number, since it uses as much as digits as its factorization.

4098893546593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1007769600, while the sum is 73.

The spelling of 4098893546593 in words is "four trillion, ninety-eight billion, eight hundred ninety-three million, five hundred forty-six thousand, five hundred ninety-three".