23 × 11 × 113 × 233
1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 233, 452, 466, 904, 932, 1243, 1864, 2486, 2563, 4972, 5126, 9944, 10252, 20504, 26329, 52658, 105316, 210632, 289619, 579238, 1158476 and 2316952
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.