Despite Trump's warnings about the dangers of terrorism and immigration, Obama said, "there are no existential threats facing us."
Asked if he could envision Trump one day delivering a State of the Union address, Obama said: "Well, I can imagine it -- in a 'Saturday Night (Live)' skit."
"Look, anything's possible," he continued. "And I think we shouldn't be complacent."
Obama's comments came in the run-up to Tuesday night's State of the Union address. In a political campaign year already plagued by divisive messages such as Trump's, the president said that he would seek to emphasize what had been achieved during his terms in office.
"It is sometimes important for us to step back and take measure of how far we've come," he said. "The economy right now is doing better than any other economy in the world by a significant margin. We remain the strongest nation on earth by far."
Obama noted that while politics were divisive today, Americans tend to forget how divided they've been in the past. "And sometimes we look at the past through rose-colored glasses. It's been pretty divided in the past. There've been times where, you know, people beat each other with canes," he said, in a reference to the May 1856 attack by Rep. Preston Brooks on Sen. Charles Sumner with a walking cane on the floor of the Senate.