3188584138673 has 2 divisors, whose sum is σ = 3188584138674. Its totient is φ = 3188584138672.

The previous prime is 3188584138661. The next prime is 3188584138681. The reversal of 3188584138673 is 3768314858813.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1675347099904 + 1513237038769 = 1294352^2 + 1230137^2 .

It is a cyclic number.

It is not a de Polignac number, because 3188584138673 - 2²⁰ = 3188583090097 is a prime.

It is not a weakly prime, because it can be changed into another prime (3188584138643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1594292069336 + 1594292069337.

It is an arithmetic number, because the mean of its divisors is an integer number (1594292069337).

Almost surely, 2^{3188584138673} is an apocalyptic number.

It is an amenable number.

3188584138673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3188584138673 is an equidigital number, since it uses as much as digits as its factorization.

3188584138673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92897280, while the sum is 65.

The spelling of 3188584138673 in words is "three trillion, one hundred eighty-eight billion, five hundred eighty-four million, one hundred thirty-eight thousand, six hundred seventy-three".