24 × 61 × 46567
1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 46567, 93134, 186268, 372536, 745072, 2840587, 5681174, 11362348, 22724696 and 45449392
No.
Its nearest Fibonacci number neighbors are 39088169 and 63245986.