217315479808 has 432 divisors, whose sum is σ = 557747097600. Its totient is φ = 83921080320.

The previous prime is 217315479779. The next prime is 217315479809. The reversal of 217315479808 is 808974513712.

It is not an unprimeable number, because it can be changed into a prime (217315479809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495023653 + ... + 495024091.

Almost surely, 2^217315479808 is an apocalyptic number.

217315479808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217315479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278873548800).

217315479808 is an abundant number, since it is smaller than the sum of its proper divisors (340431617792).

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

217315479808 is a wasteful number, since it uses less digits than its factorization.

217315479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 217315479808 in words is "two hundred seventeen billion, three hundred fifteen million, four hundred seventy-nine thousand, eight hundred eight".