217549482084 has 243 divisors, whose sum is σ = 624501619833. Its totient is φ = 63806529600.

The previous prime is 217549482053. The next prime is 217549482107. The reversal of 217549482084 is 480284945712.

The square root of 217549482084 is 466422.

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

217549482084 is a `hidden beast` number, since 2 + 1 + 75 + 494 + 8 + 2 + 0 + 84 = 666.

217549482084 is digitally balanced in base 2, 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 only one way, i.e., 194666264100 + 22883217984 = 441210^2 + 151272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 217549482084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1139002429 + ... + 1139002619.

Almost surely, 2^217549482084 is an apocalyptic number.

217549482084 is the 466422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217549482084

217549482084 is an abundant number, since it is smaller than the sum of its proper divisors (406952137749).

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

217549482084 is a wasteful number, since it uses less digits than its factorization.

217549482084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 217549482084 in words is "two hundred seventeen billion, five hundred forty-nine million, four hundred eighty-two thousand, eighty-four".