66584792129 has 2 divisors, whose sum is σ = 66584792130. Its totient is φ = 66584792128.

The previous prime is 66584792119. The next prime is 66584792159. The reversal of 66584792129 is 92129748566.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59836498225 + 6748293904 = 244615^2 + 82148^2 .

It is a cyclic number.

It is not a de Polignac number, because 66584792129 - 2¹² = 66584788033 is a prime.

It is not a weakly prime, because it can be changed into another prime (66584792119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33292396064 + 33292396065.

It is an arithmetic number, because the mean of its divisors is an integer number (33292396065).

Almost surely, 2^66584792129 is an apocalyptic number.

It is an amenable number.

66584792129 is a deficient number, since it is larger than the sum of its proper divisors (1).

66584792129 is an equidigital number, since it uses as much as digits as its factorization.

66584792129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13063680, while the sum is 59.

The spelling of 66584792129 in words is "sixty-six billion, five hundred eighty-four million, seven hundred ninety-two thousand, one hundred twenty-nine".