2 × 32 × 37 × 41
1, 2, 3, 6, 9, 18, 37, 41, 74, 82, 111, 123, 222, 246, 333, 369, 666, 738, 1517, 3034, 4551, 9102, 13653 and 27306
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.