Ra's al Ghul

Immortality (when using Lazarus Pit).
Genius-level intelligence.
Hand-to-hand combat skills.
Excellent proficiency with a variety of weapons.
Extensive experience in manipulating people.
Significant financial resources

Ra's al Ghul is the head of the criminal organizations known as "The Demon" and the "League of Assassins," and one of Batman's main adversaries. Ra's al Ghul is an international radical eco-terrorist who has lived for over six hundred years. He believes that humanity's evil is a plague on the planet and must be destroyed at any cost. With the support of the League of Assassins, he manipulates global events to achieve his personal goals.

Ra's al Ghul is an anti-hero and supervillain often depicted as a ruthless and manipulative antagonist who will stop at nothing to achieve his goals.
Some character traits of the character:
The pursuit of immortality. Ra's al Ghul fears death and is willing to do anything to preserve his existence.
Paranoia and a desire for control. In the League of Assassins, Ra's al Ghul established a policy of punishing failure with death.
Cynicism. He doesn't believe in attempts to reform society and thinks that those who have crossed the line should be judged.
A thirst for revenge. Ra's al Ghul is inclined to seek revenge against everyone who is not Batman, whom he admires and perhaps secretly envies.
Long-term planning. Ra's al Ghul initiates plans to destroy Gotham that require time and effort but do not yield immediate results.

Damian Wayne is the son of Talia al Ghul and Bruce Wayne (Batman), therefore, logically, Damian Wayne is the grandson of Ra's al Ghul.

Talia al Ghul is the daughter of Ra's al Ghul.