66117004414729 has 2 divisors, whose sum is σ = 66117004414730. Its totient is φ = 66117004414728.

The previous prime is 66117004414633. The next prime is 66117004414781. The reversal of 66117004414729 is 92741440071166.

It is an a-pointer prime, because the next prime (66117004414781) can be obtained adding 66117004414729 to its sum of digits (52).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45230641989129 + 20886362425600 = 6725373^2 + 4570160^2 .

It is a cyclic number.

It is not a de Polignac number, because 66117004414729 - 2³⁵ = 66082644676361 is a prime.

It is not a weakly prime, because it can be changed into another prime (66117004114729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33058502207364 + 33058502207365.

It is an arithmetic number, because the mean of its divisors is an integer number (33058502207365).

Almost surely, 2^{66117004414729} is an apocalyptic number.

It is an amenable number.

66117004414729 is a deficient number, since it is larger than the sum of its proper divisors (1).

66117004414729 is an equidigital number, since it uses as much as digits as its factorization.

66117004414729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 66117004414729 in words is "sixty-six trillion, one hundred seventeen billion, four million, four hundred fourteen thousand, seven hundred twenty-nine".