2 × 32 × 11 × 41
1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059 and 8118
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.