66071116801 has 2 divisors, whose sum is σ = 66071116802. Its totient is φ = 66071116800.

The previous prime is 66071116799. The next prime is 66071116861. The reversal of 66071116801 is 10861117066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54184666176 + 11886450625 = 232776^2 + 109025^2 .

It is a cyclic number.

It is not a de Polignac number, because 66071116801 - 2¹ = 66071116799 is a prime.

Together with 66071116799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (66071116861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33035558400 + 33035558401.

It is an arithmetic number, because the mean of its divisors is an integer number (33035558401).

Almost surely, 2^66071116801 is an apocalyptic number.

It is an amenable number.

66071116801 is a deficient number, since it is larger than the sum of its proper divisors (1).

66071116801 is an equidigital number, since it uses as much as digits as its factorization.

66071116801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 66071116801 in words is "sixty-six billion, seventy-one million, one hundred sixteen thousand, eight hundred one".