32 × 72 × 127 × 337
1, 3, 7, 9, 21, 49, 63, 127, 147, 337, 381, 441, 889, 1011, 1143, 2359, 2667, 3033, 6223, 7077, 8001, 16513, 18669, 21231, 42799, 49539, 56007, 128397, 148617, 299593, 385191, 898779, 2097151, 2696337, 6291453 and 18874359
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.