66463343312033 has 2 divisors, whose sum is σ = 66463343312034. Its totient is φ = 66463343312032.

The previous prime is 66463343311997. The next prime is 66463343312059. The reversal of 66463343312033 is 33021334336466.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53905448573089 + 12557894738944 = 7342033^2 + 3543712^2 .

It is a cyclic number.

It is not a de Polignac number, because 66463343312033 - 2¹⁰ = 66463343311009 is a prime.

It is not a weakly prime, because it can be changed into another prime (66463343312633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33231671656016 + 33231671656017.

It is an arithmetic number, because the mean of its divisors is an integer number (33231671656017).

Almost surely, 2^{66463343312033} is an apocalyptic number.

It is an amenable number.

66463343312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

66463343312033 is an equidigital number, since it uses as much as digits as its factorization.

66463343312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5038848, while the sum is 47.

Adding to 66463343312033 its reverse (33021334336466), we get a palindrome (99484677648499).

The spelling of 66463343312033 in words is "sixty-six trillion, four hundred sixty-three billion, three hundred forty-three million, three hundred twelve thousand, thirty-three".