664120316133 has 24 divisors (see below), whose sum is σ = 1025031922200. Its totient is φ = 412879970304.

The previous prime is 664120316089. The next prime is 664120316161. The reversal of 664120316133 is 331613021466.

664120316133 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 2 + 0 + 31 + 613 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255745638369 + 408374677764 = 505713^2 + 639042^2 .

It is not a de Polignac number, because 664120316133 - 2²⁰ = 664119267557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664120316633) 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 in 23 ways as a sum of consecutive naturals, for example, 19894588 + ... + 19927941.

It is an arithmetic number, because the mean of its divisors is an integer number (42709663425).

Almost surely, 2^664120316133 is an apocalyptic number.

It is an amenable number.

664120316133 is a deficient number, since it is larger than the sum of its proper divisors (360911606067).

664120316133 is a wasteful number, since it uses less digits than its factorization.

664120316133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39822661 (or 39822658 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 664120316133 its reverse (331613021466), we get a palindrome (995733337599).

The spelling of 664120316133 in words is "six hundred sixty-four billion, one hundred twenty million, three hundred sixteen thousand, one hundred thirty-three".