Paul uses anepileptos three times in the pastoral epistles (1 Timothy 3:2; 5:7; Titus 1:7 uses the synonym anegkletos) as the first and foundational qualification for overseers: "above reproach." This is not sinless perfection but a life so transparently godly that no legitimate accusation sticks — no character flaw that disqualifies. The elder's life must be public enough to be examined and strong enough to withstand scrutiny. It is the external face of internal integrity.
Anepileptos (also spelled anepileptos) is formed from a-privative + epilambanoo (to take hold of, to seize with accusation) — that which cannot be seized upon, meaning no valid charge can be laid against it. It is the standard qualification for church leadership.