217417013910811 has 16 divisors (see below), whose sum is σ = 262330413313248. Its totient is φ = 177516821030400.

The previous prime is 217417013910773. The next prime is 217417013910847. The reversal of 217417013910811 is 118019310714712.

It is a cyclic number.

It is not a de Polignac number, because 217417013910811 - 2²⁹ = 217416477039899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217417013910011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20545923070 + ... + 20545933651.

It is an arithmetic number, because the mean of its divisors is an integer number (16395650832078).

Almost surely, 2^{217417013910811} is an apocalyptic number.

217417013910811 is a deficient number, since it is larger than the sum of its proper divisors (44913399402437).

217417013910811 is a wasteful number, since it uses less digits than its factorization.

217417013910811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41091856782.

The product of its (nonzero) digits is 84672, while the sum is 46.

The spelling of 217417013910811 in words is "two hundred seventeen trillion, four hundred seventeen billion, thirteen million, nine hundred ten thousand, eight hundred eleven".