23 × 29 × 211 × 421
1, 2, 4, 8, 29, 58, 116, 211, 232, 421, 422, 842, 844, 1684, 1688, 3368, 6119, 12209, 12238, 24418, 24476, 48836, 48952, 88831, 97672, 177662, 355324, 710648, 2576099, 5152198, 10304396 and 20608792
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.