201664664001 has 48 divisors (see below), whose sum is σ = 301901535936. Its totient is φ = 129630066048.

The previous prime is 201664663997. The next prime is 201664664009. The reversal of 201664664001 is 100466466102.

201664664001 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 6 + 4 + 6 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 201664664001 - 2² = 201664663997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201664664009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71082355 + ... + 71085191.

It is an arithmetic number, because the mean of its divisors is an integer number (6289615332).

Almost surely, 2^201664664001 is an apocalyptic number.

It is an amenable number.

201664664001 is a deficient number, since it is larger than the sum of its proper divisors (100236871935).

201664664001 is a wasteful number, since it uses less digits than its factorization.

201664664001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201664664001 in words is "two hundred one billion, six hundred sixty-four million, six hundred sixty-four thousand, one".