202066383168 has 504 divisors, whose sum is σ = 644775992640. Its totient is φ = 60455116800.

The previous prime is 202066383131. The next prime is 202066383209. The reversal of 202066383168 is 861383660202.

It is a happy number.

202066383168 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 6 + 638 + 3 + 1 + 6 + 8 = 666.

202066383168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 867237580 + ... + 867237812.

Almost surely, 2^202066383168 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 202066383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322387996320).

202066383168 is an abundant number, since it is smaller than the sum of its proper divisors (442709609472).

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

202066383168 is a wasteful number, since it uses less digits than its factorization.

202066383168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 202066383168 in words is "two hundred two billion, sixty-six million, three hundred eighty-three thousand, one hundred sixty-eight".