164340653507321 has 2 divisors, whose sum is σ = 164340653507322. Its totient is φ = 164340653507320.

The previous prime is 164340653507243. The next prime is 164340653507333. The reversal of 164340653507321 is 123705356043461.

It is a happy number.

164340653507321 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., 108617250241600 + 55723403265721 = 10421960^2 + 7464811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164340653507321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164340653507321.

It is not a weakly prime, because it can be changed into another prime (164340653507621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82170326753660 + 82170326753661.

It is an arithmetic number, because the mean of its divisors is an integer number (82170326753661).

Almost surely, 2^{164340653507321} is an apocalyptic number.

It is an amenable number.

164340653507321 is a deficient number, since it is larger than the sum of its proper divisors (1).

164340653507321 is an equidigital number, since it uses as much as digits as its factorization.

164340653507321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 50.

The spelling of 164340653507321 in words is "one hundred sixty-four trillion, three hundred forty billion, six hundred fifty-three million, five hundred seven thousand, three hundred twenty-one".