24 × 3 × 1451
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1451, 2902, 4353, 5804, 8706, 11608, 17412, 23216, 34824 and 69648
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.