Santa Claus makes an appearance, played by character actor Andy Devine.
The governor of the state in which Gotham City is located is named Stonefeller. This is a play on New York Governor Nelson Rockefeller's name.
The first draft of this story, dated April 22, 1966, featured The Riddler instead of The Puzzler and was titled 'A Penny for your Riddles'/'They're Worth a Lot More!'. Fred De Gorter's revised draft dated September 27, 1966 was titled 'The Conundrums are Coming'/'The Duo is Slumming' before the script was modified to it's final form.
Batman is willing to reveal the batcave location to Santa by batphone, something he was unwilling to do with any other character in the series.
Batman and Santa Claus both break "the fourth wall" by addressing the audience.