164608198561 has 2 divisors, whose sum is σ = 164608198562. Its totient is φ = 164608198560.

The previous prime is 164608198549. The next prime is 164608198571. The reversal of 164608198561 is 165891806461.

164608198561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164607906961 + 291600 = 405719^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 164608198561 - 2⁵ = 164608198529 is a prime.

It is not a weakly prime, because it can be changed into another prime (164608198511) 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, 82304099280 + 82304099281.

It is an arithmetic number, because the mean of its divisors is an integer number (82304099281).

Almost surely, 2^164608198561 is an apocalyptic number.

It is an amenable number.

164608198561 is a deficient number, since it is larger than the sum of its proper divisors (1).

164608198561 is an equidigital number, since it uses as much as digits as its factorization.

164608198561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 164608198561 in words is "one hundred sixty-four billion, six hundred eight million, one hundred ninety-eight thousand, five hundred sixty-one".