David AmÃ rico Ortiz Arias ( born November 18 , 1975 in Santo Domingo , Dominican Republic ) is a Major League Baseball designated hitter who is currently playing for the Boston Red Sox . David AmÃ rico Ortiz Arias ( born November 18 , 1975 , in Santo Domingo , Dominican Republic ) , nicknamed `` Big Papi '' , is a Dominican American professional baseball designated hitter with the Boston Red Sox of Major League Baseball .