217840422047472 has 600 divisors, whose sum is σ = 755826758428896. Its totient is φ = 60351081993216.

The previous prime is 217840422047471. The next prime is 217840422047503. The reversal of 217840422047472 is 274740224048712.

217840422047472 is a `hidden beast` number, since 2 + 1 + 7 + 8 + 40 + 42 + 20 + 474 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217840422047471) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 688288653 + ... + 688605075.

Almost surely, 2^{217840422047472} 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 217840422047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377913379214448).

217840422047472 is an abundant number, since it is smaller than the sum of its proper divisors (537986336381424).

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

217840422047472 is a wasteful number, since it uses less digits than its factorization.

217840422047472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316787 (or 316765 counting only the distinct ones).

The product of its (nonzero) digits is 11239424, while the sum is 54.

The spelling of 217840422047472 in words is "two hundred seventeen trillion, eight hundred forty billion, four hundred twenty-two million, forty-seven thousand, four hundred seventy-two".