166416212563361 has 2 divisors, whose sum is σ = 166416212563362. Its totient is φ = 166416212563360.

The previous prime is 166416212563301. The next prime is 166416212563439. The reversal of 166416212563361 is 163365212614661.

166416212563361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122870995308961 + 43545217254400 = 11084719^2 + 6598880^2 .

It is a cyclic number.

It is not a de Polignac number, because 166416212563361 - 2³⁸ = 166141334656417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (166416212563301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83208106281680 + 83208106281681.

It is an arithmetic number, because the mean of its divisors is an integer number (83208106281681).

Almost surely, 2^{166416212563361} is an apocalyptic number.

It is an amenable number.

166416212563361 is a deficient number, since it is larger than the sum of its proper divisors (1).

166416212563361 is an equidigital number, since it uses as much as digits as its factorization.

166416212563361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5598720, while the sum is 53.

The spelling of 166416212563361 in words is "one hundred sixty-six trillion, four hundred sixteen billion, two hundred twelve million, five hundred sixty-three thousand, three hundred sixty-one".