17066348006401 has 2 divisors, whose sum is σ = 17066348006402. Its totient is φ = 17066348006400.

The previous prime is 17066348006387. The next prime is 17066348006473. The reversal of 17066348006401 is 10460084366071.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15801229205776 + 1265118800625 = 3975076^2 + 1124775^2 .

It is a cyclic number.

It is not a de Polignac number, because 17066348006401 - 2²⁵ = 17066314451969 is a prime.

It is not a weakly prime, because it can be changed into another prime (17066348003401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8533174003200 + 8533174003201.

It is an arithmetic number, because the mean of its divisors is an integer number (8533174003201).

Almost surely, 2^{17066348006401} is an apocalyptic number.

It is an amenable number.

17066348006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

17066348006401 is an equidigital number, since it uses as much as digits as its factorization.

17066348006401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 17066348006401 in words is "seventeen trillion, sixty-six billion, three hundred forty-eight million, six thousand, four hundred one".