201663664416 has 96 divisors (see below), whose sum is σ = 589668266880. Its totient is φ = 67051784448.

The previous prime is 201663664403. The next prime is 201663664421. The reversal of 201663664416 is 614466366102.

201663664416 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 636 + 6 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49045 + ... + 636971.

It is an arithmetic number, because the mean of its divisors is an integer number (6142377780).

Almost surely, 2^201663664416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201663664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294834133440).

201663664416 is an abundant number, since it is smaller than the sum of its proper divisors (388004602464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201663664416 is a wasteful number, since it uses less digits than its factorization.

201663664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588343 (or 588329 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 201663664416 in words is "two hundred one billion, six hundred sixty-three million, six hundred sixty-four thousand, four hundred sixteen".