20144344344193 has 2 divisors, whose sum is σ = 20144344344194. Its totient is φ = 20144344344192.

The previous prime is 20144344344077. The next prime is 20144344344199. The reversal of 20144344344193 is 39144344344102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19859607913744 + 284736430449 = 4456412^2 + 533607^2 .

It is a cyclic number.

It is not a de Polignac number, because 20144344344193 - 2²⁵ = 20144310789761 is a prime.

It is not a weakly prime, because it can be changed into another prime (20144344344199) 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, 10072172172096 + 10072172172097.

It is an arithmetic number, because the mean of its divisors is an integer number (10072172172097).

Almost surely, 2^{20144344344193} is an apocalyptic number.

It is an amenable number.

20144344344193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20144344344193 is an equidigital number, since it uses as much as digits as its factorization.

20144344344193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1990656, while the sum is 46.

Adding to 20144344344193 its reverse (39144344344102), we get a palindrome (59288688688295).

The spelling of 20144344344193 in words is "twenty trillion, one hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, one hundred ninety-three".