217133632576 has 189 divisors, whose sum is σ = 514131450399. Its totient is φ = 90719935488.

The previous prime is 217133632543. The next prime is 217133632603. The reversal of 217133632576 is 675236331712.

The square root of 217133632576 is 465976.

It is a perfect power (a square), and thus also a powerful number.

217133632576 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 4 ways, for example, as 52186176 + 217081446400 = 7224^2 + 465920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1383016690 + ... + 1383016846.

Almost surely, 2^217133632576 is an apocalyptic number.

217133632576 is the 465976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217133632576

217133632576 is an abundant number, since it is smaller than the sum of its proper divisors (296997817823).

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

217133632576 is an frugal number, since it uses more digits than its factorization.

217133632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 219 counting only the distinct ones).

The product of its digits is 952560, while the sum is 46.

The spelling of 217133632576 in words is "two hundred seventeen billion, one hundred thirty-three million, six hundred thirty-two thousand, five hundred seventy-six".