164340434201521 has 2 divisors, whose sum is σ = 164340434201522. Its totient is φ = 164340434201520.

The previous prime is 164340434201497. The next prime is 164340434201557. The reversal of 164340434201521 is 125102434043461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140830435840000 + 23509998361521 = 11867200^2 + 4848711^2 .

It is a cyclic number.

It is not a de Polignac number, because 164340434201521 - 2¹⁵ = 164340434168753 is a prime.

It is not a weakly prime, because it can be changed into another prime (164340434211521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82170217100760 + 82170217100761.

It is an arithmetic number, because the mean of its divisors is an integer number (82170217100761).

Almost surely, 2^{164340434201521} is an apocalyptic number.

It is an amenable number.

164340434201521 is a deficient number, since it is larger than the sum of its proper divisors (1).

164340434201521 is an equidigital number, since it uses as much as digits as its factorization.

164340434201521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 164340434201521 its reverse (125102434043461), we get a palindrome (289442868244982).

The spelling of 164340434201521 in words is "one hundred sixty-four trillion, three hundred forty billion, four hundred thirty-four million, two hundred one thousand, five hundred twenty-one".