Beyle (sometimes spelled Beila) is the Yiddish word for "beautiful" — borrowed from the Old French belle via medieval European Jewish migration.
Beyle was a common Ashkenazi name, often paired with biblical names (Beyle-Sara, Beyle-Rachel).
Beyle does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Beyle reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.