66588436337 has 2 divisors, whose sum is σ = 66588436338. Its totient is φ = 66588436336.

The previous prime is 66588436309. The next prime is 66588436339. The reversal of 66588436337 is 73363488566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58256580496 + 8331855841 = 241364^2 + 91279^2 .

It is a cyclic number.

It is not a de Polignac number, because 66588436337 - 2¹² = 66588432241 is a prime.

Together with 66588436339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66588436339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33294218168 + 33294218169.

It is an arithmetic number, because the mean of its divisors is an integer number (33294218169).

Almost surely, 2^66588436337 is an apocalyptic number.

It is an amenable number.

66588436337 is a deficient number, since it is larger than the sum of its proper divisors (1).

66588436337 is an equidigital number, since it uses as much as digits as its factorization.

66588436337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52254720, while the sum is 59.

The spelling of 66588436337 in words is "sixty-six billion, five hundred eighty-eight million, four hundred thirty-six thousand, three hundred thirty-seven".