The 70-year-old actor said that there were "misconceptions" he wished to clarify.
He wrote on Facebook: "FB 89 - There are some misconceptions and untrue facts being mentioned on various social networks about me ..1. they state that another poem was written by me on the victim of gang rape in Delhi ... wrong. I wrote just one poem and every one knows what i am talking on ..
"FB 89 - Second misconception: Abhishek presented a car to Aaradhya on her first birthday ... wrong. NO car was presented, instead a car was purchased by them to gift me on my birthday ... a MiniCooper, which I love, and which has a number plate 2882."
The Bol Bachchan star went on to explain the reasoning behind the number, saying: "And its 2882, because that is a special date too in my life ... my second birthday! After the Coolie accident it was on the 2nd of Aug 1982 that I had died and revived. 2882 is the 2nd of the 8th month of August in the year '82 ... so 2882!!"
It was widely reported that Abhishek Bachchan and wife Aishwarya Rai Bachchan had given their daughter Aaradhya a car on her first birthday.
Amitabh, who is known to be a keen fan of social media, regularly writes updates on his personal blog Big Adda, as well as recording a voice blog. He is also the most popular Bollywood star on Twitter, with over 3 million followers.