This is a quintessential virtuosic display piece composed during Weber's prime. It is musically distinctive for its bold orchestral-like textures and demands for high-velocity finger work.
The primary challenge is maintaining rhythmic precision and clarity while executing the rapid, sprawling bravura passages.
Comparable difficulty and character — good candidates for what to learn next.
Allegro di bravura is rated Henle level 7 of 9 — late advanced repertoire, roughly ABRSM grade 8 and above. In the RCM system it corresponds to about level 9.
You should be comfortable at Henle level 7 — meaning you can already play level 6–7 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Allegro di bravura lasts about 6 minutes.
Allegro di bravura is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Piano Sonata No. 21 'Waldstein' by Ludwig van Beethoven, Wanderer Fantasy in C major by Franz Schubert, Toccata in D minor by Sergei Prokofiev — see the full similar-pieces list on this page.