23 × 7 × 11 × 331
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 331, 616, 662, 1324, 2317, 2648, 3641, 4634, 7282, 9268, 14564, 18536, 25487, 29128, 50974, 101948 and 203896
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.