217730147712 has 512 divisors, whose sum is σ = 770074214400. Its totient is φ = 52835328000.

The previous prime is 217730147711. The next prime is 217730147753. The reversal of 217730147712 is 217741037712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217730147711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26577537 + ... + 26585727.

It is an arithmetic number, because the mean of its divisors is an integer number (1504051200).

Almost surely, 2^217730147712 is an apocalyptic number.

217730147712 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 217730147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385037107200).

217730147712 is an abundant number, since it is smaller than the sum of its proper divisors (552344066688).

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

217730147712 is a wasteful number, since it uses less digits than its factorization.

217730147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

Subtracting 217730147712 from its reverse (217741037712), we obtain a square (10890000 = 3300²).

The spelling of 217730147712 in words is "two hundred seventeen billion, seven hundred thirty million, one hundred forty-seven thousand, seven hundred twelve".