202056664336 has 80 divisors (see below), whose sum is σ = 416274807600. Its totient is φ = 94829543424.

The previous prime is 202056664321. The next prime is 202056664343. The reversal of 202056664336 is 633466650202.

202056664336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45968400 + 202010695936 = 6780^2 + 449456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202056664292 and 202056664301.

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 15 ways as a sum of consecutive naturals, for example, 24185536 + ... + 24193888.

It is an arithmetic number, because the mean of its divisors is an integer number (5203435095).

Almost surely, 2^202056664336 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 202056664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208137403800).

202056664336 is an abundant number, since it is smaller than the sum of its proper divisors (214218143264).

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

202056664336 is a wasteful number, since it uses less digits than its factorization.

202056664336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 202056664336 in words is "two hundred two billion, fifty-six million, six hundred sixty-four thousand, three hundred thirty-six".