Such a number could be written down too! (9)
I believe the answer is:
imaginary
'such a number' is the definition.
(imaginary number is a kind of number)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for imaginary that I've seen before include "Fictitious" , "Fictional" , "Pretend" , "Unreal, fanciful" , "Not real" .)