24 × 23 × 1451
1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 1451, 2902, 5804, 11608, 23216, 33373, 66746, 133492, 266984 and 533968
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.