217820313863 has 8 divisors (see below), whose sum is σ = 231037194960. Its totient is φ = 204648312960.

The previous prime is 217820313853. The next prime is 217820313881. The reversal of 217820313863 is 368313028712.

217820313863 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217820313863 is a prime.

It is a super-3 number, since 3×217820313863³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217820313853) 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 7 ways as a sum of consecutive naturals, for example, 11210048 + ... + 11229461.

It is an arithmetic number, because the mean of its divisors is an integer number (28879649370).

Almost surely, 2^217820313863 is an apocalyptic number.

217820313863 is a deficient number, since it is larger than the sum of its proper divisors (13216881097).

217820313863 is a wasteful number, since it uses less digits than its factorization.

217820313863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22440097.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 217820313863 in words is "two hundred seventeen billion, eight hundred twenty million, three hundred thirteen thousand, eight hundred sixty-three".