217334048481 has 135 divisors (see below), whose sum is σ = 380457010857. Its totient is φ = 123521967360.

The previous prime is 217334048479. The next prime is 217334048483. The reversal of 217334048481 is 184840433712.

The square root of 217334048481 is 466191.

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

217334048481 is a `hidden beast` number, since 21 + 7 + 33 + 40 + 484 + 81 = 666.

217334048481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (217334048479) and next prime (217334048483).

It can be written as a sum of positive squares in 4 ways, for example, as 829958481 + 216504090000 = 28809^2 + 465300^2 .

It is not a de Polignac number, because 217334048481 - 2¹ = 217334048479 is a prime.

It is a super-2 number, since 2×217334048481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217334048483) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 784599315 + ... + 784599591.

Almost surely, 2^217334048481 is an apocalyptic number.

217334048481 is the 466191-st square number.

217334048481 is the 233096-th centered octagonal number.

It is an amenable number.

217334048481 is a deficient number, since it is larger than the sum of its proper divisors (163122962376).

217334048481 is an equidigital number, since it uses as much as digits as its factorization.

217334048481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 217334048481 in words is "two hundred seventeen billion, three hundred thirty-four million, forty-eight thousand, four hundred eighty-one".