217545263232 has 256 divisors, whose sum is σ = 641155875840. Its totient is φ = 64802304000.

The previous prime is 217545263191. The next prime is 217545263237. The reversal of 217545263232 is 232362545712.

It is not an unprimeable number, because it can be changed into a prime (217545263237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126258723 + ... + 126260445.

It is an arithmetic number, because the mean of its divisors is an integer number (2504515140).

Almost surely, 2^217545263232 is an apocalyptic number.

217545263232 is a gapful number since it is divisible by the number (22) 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 217545263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320577937920).

217545263232 is an abundant number, since it is smaller than the sum of its proper divisors (423610612608).

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

217545263232 is a wasteful number, since it uses less digits than its factorization.

217545263232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2231 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The spelling of 217545263232 in words is "two hundred seventeen billion, five hundred forty-five million, two hundred sixty-three thousand, two hundred thirty-two".