The names of the notes in the B sharp Major scale are: B♯ C♯♯ D♯♯ E♯ F♯♯ G♯♯ A♯♯

B sharp Major scale in most common clefs
Here is B sharp Major in most common clefs: treble clef, bass clef, tenor clef and alto clef.
B sharp Major scale in treble clef (G-clef)
Below is the B sharp Major scale in treble clef:

B sharp Major scale in bass clef
Below is the B sharp Major scale in bass clef:

B sharp Major scale in alto clef
Below is the B sharp Major scale in alto clef:

B sharp Major scale in tenor clef
Below is the B sharp Major scale in tenor clef:

Scale degrees of B sharp major
The degrees of B sharp major scale are:
B♯ : degree I (Tonic)
C♯♯ : degree II (Supertonic)
D♯♯ : degree III (Mediant)
E♯ : degree IV (Subdominant)
F♯♯ : degree V (Dominant)
G♯♯ : degree VI (Submediant)
A♯♯ : degree VII (Leading Tone)
Leading Tone of B sharp Major
The leading Tone of B sharp Major is A double sharp, because A double sharp is the degree VII and is distant to a seventh major of the tonic, or an half step
Chords of B sharp major scale
Here are triad chords for B sharp Major scale:
Chord I : B♯ Major (Notes: B♯ D♯♯ F♯♯)
Chord II : C♯♯ minor (Notes: C♯♯ E♯ G♯♯)
Chord III : D♯♯ minor (Notes: D♯♯ F♯♯ A♯♯)
Chord IV : E♯ Major (Notes: E♯ G♯♯ B♯)
Chord V : F♯♯ Major (Notes: F♯♯ A♯♯ C♯♯)
Chord VI : G♯♯ minor (Notes: G♯♯ B♯ D♯♯)
Chord VII : A♯♯ diminished (Notes: A♯♯ C♯♯ E♯)