164263640417 has 2 divisors, whose sum is σ = 164263640418. Its totient is φ = 164263640416.

The previous prime is 164263640399. The next prime is 164263640447. The reversal of 164263640417 is 714046362461.

164263640417 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., 103609309456 + 60654330961 = 321884^2 + 246281^2 .

It is an emirp because it is prime and its reverse (714046362461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164263640417 - 2¹⁸ = 164263378273 is a prime.

It is not a weakly prime, because it can be changed into another prime (164263640447) 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, 82131820208 + 82131820209.

It is an arithmetic number, because the mean of its divisors is an integer number (82131820209).

Almost surely, 2^164263640417 is an apocalyptic number.

It is an amenable number.

164263640417 is a deficient number, since it is larger than the sum of its proper divisors (1).

164263640417 is an equidigital number, since it uses as much as digits as its factorization.

164263640417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 164263640417 in words is "one hundred sixty-four billion, two hundred sixty-three million, six hundred forty thousand, four hundred seventeen".