Zero, they have not yet won a national championship, they did go to a final four under Digger Phelps.
Notre Dame has 13 National Championship titles, 11 of which are outright.
None
11
yes, in 2010 against notre dame
12 titles
eleven
Notre Dame has won 12, that is if you go all the way back to 1901. Furthermore, some universities have received mention as a national champion by at least one source which some universities would claim as a national title but do not count it among the consensus championships. For instance, by some counts, Notre Dame has 11 consensus titles (1924, '29, '30, '43, '46, '47, '49, '66, '73, '77, '88), but another 8 seasons where one reliable source declared Notre Dame the national champion (1919, '20, '27, '38, '53, '64, '67, '70).
2 (1927*, 1936*) Pre-tournament era Helms Trophy
Duke vs. Notre Dame final score at the Joyce Center is 76-72 in favor of Notre Dame
There are many cathedrals and churches dedicated to Our Lady, and therefore named "Notre Dame." One of the most beautiful cathedrals is that of Notre Dame de Chartres, and, arguably, the most famous Notre Dame cathedral is located in Paris, France.
As of the 2008 season, Notre Dame's bowl record is 13-15.