66145808129 has 2 divisors, whose sum is σ = 66145808130. Its totient is φ = 66145808128.

The previous prime is 66145808119. The next prime is 66145808191. The reversal of 66145808129 is 92180854166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63391657729 + 2754150400 = 251777^2 + 52480^2 .

It is a cyclic number.

It is not a de Polignac number, because 66145808129 - 2³² = 61850840833 is a prime.

It is not a weakly prime, because it can be changed into another prime (66145808119) 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, 33072904064 + 33072904065.

It is an arithmetic number, because the mean of its divisors is an integer number (33072904065).

Almost surely, 2^66145808129 is an apocalyptic number.

It is an amenable number.

66145808129 is a deficient number, since it is larger than the sum of its proper divisors (1).

66145808129 is an equidigital number, since it uses as much as digits as its factorization.

66145808129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 66145808129 in words is "sixty-six billion, one hundred forty-five million, eight hundred eight thousand, one hundred twenty-nine".