~10^7089. That’s a 1 with 7 thousand 0’s after it. Which is a number so ridiculously large it might as well be infinite on a human level. For context there are ~10^80 atoms in the entire universe.
This answer also varies a lot depending on what kind of QR code you are using. Because surprise, there are multiple types of QR codes. They will all look pretty similar to human eyes but the differences are with how small they can be and how much error correction is included. But for the biggest codes with minimal error correction they max out at that 10^7089 number.
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