217975110912 has 360 divisors, whose sum is σ = 705581735936. Its totient is φ = 66530709504.

The previous prime is 217975110907. The next prime is 217975110919. The reversal of 217975110912 is 219011579712.

217975110912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217975110919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34231953 + ... + 34238319.

Almost surely, 2^217975110912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217975110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352790867968).

217975110912 is an abundant number, since it is smaller than the sum of its proper divisors (487606625024).

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

217975110912 is a wasteful number, since it uses less digits than its factorization.

217975110912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 45.

The spelling of 217975110912 in words is "two hundred seventeen billion, nine hundred seventy-five million, one hundred ten thousand, nine hundred twelve".