3 × 37 × 271 × 2906161
1, 3, 37, 111, 271, 813, 10027, 30081, 2906161, 8718483, 107527957, 322583871, 787569631, 2362708893, 29140076347 and 87420229041
No.
Its nearest Fibonacci number neighbors are 86267571272 and 139583862445.