2 × 32 × 29 × 79
1, 2, 3, 6, 9, 18, 29, 58, 79, 87, 158, 174, 237, 261, 474, 522, 711, 1422, 2291, 4582, 6873, 13746, 20619 and 41238
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.