321664445001601 has 8 divisors (see below), whose sum is σ = 350300087038440. Its totient is φ = 293584834849152.

The previous prime is 321664445001517. The next prime is 321664445001629. The reversal of 321664445001601 is 106100544466123.

It can be written as a sum of positive squares in 4 ways, for example, as 7265445311601 + 314398999690000 = 2695449^2 + 17731300^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321664445001601 - 2²⁷ = 321664310783873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321664445005601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139007969890 + ... + 139007972203.

It is an arithmetic number, because the mean of its divisors is an integer number (43787510879805).

Almost surely, 2^{321664445001601} is an apocalyptic number.

It is an amenable number.

321664445001601 is a deficient number, since it is larger than the sum of its proper divisors (28635642036839).

321664445001601 is a wasteful number, since it uses less digits than its factorization.

321664445001601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278015942195.

The product of its (nonzero) digits is 414720, while the sum is 43.

Adding to 321664445001601 its reverse (106100544466123), we get a palindrome (427764989467724).

The spelling of 321664445001601 in words is "three hundred twenty-one trillion, six hundred sixty-four billion, four hundred forty-five million, one thousand, six hundred one".