Every fingering that fits a hand
3343
moderate · barre · no 3, 5
3046
easy · no 3, 5
What is true of it
A♯11 is A♯, C𝄪, E♯, G♯, B♯ and D♯ — 1, 3, 5, b7, 9 and 11 counted from A♯.
C𝄪 is a double sharp, and it has to be: every letter from A♯ upwards is used once, so the 3 cannot be written any other way.
On an instrument that cannot reach all 6, the 3, 5 and 1 go first, in that order.
The easiest of the 2 fingerings below is 3343: 2 fingers, one of them barring the 3rd fret, held at the 3rd fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 of the 2 need a barre.
It leaves out the 3 and 5. 4 strings cannot carry 6 notes, and the 3 is the one this chord can lose without changing what it is.
Where its notes are on the neck
The brass dots are A♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
A♯11/C𝄪
7046
A♯11/E♯
acbb
A♯11/G♯
1313
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.