And Abram said, "My Lord, Hashem/Elohim: What can you give me seeing that I go childless, and the steward of my house is the Damascene Eliezer?" — Lech-Lecha
Other translations of Genesis describe Eliezer as Abraham's heir.
There is an interpretation in Bereshit Rabbah (43:2), cited by Rashi, that Eliezer went alone with Abraham to rescue Lot, with the reference to "his initiates" stated to be 318 in number (Lech-Lecha 14:14) being the numerical value of Eliezer's name in Hebrew, interpreted in tractate Nedarim (32a) as Abraham not wishing to rely on a miracle by taking only one individual. According to most interpretations, the unnamed "...slave, the elder of the household, who controlled all that was his" in Genesis (Chayei Sarah) 24:2 who acted as a marriage broker (shadchan; Hebrew: שַׁדְּכָן shadkhán) for Isaac was this Eliezer.
A prophet called Eliezer, son of Dodavah, rebuked King Jehosophat for aligning himself with Ahaziah, the King of Israel. He and Ahaziah built ships in Ezion Geber which were to sail to Tarshish for trade. According to 2 Chronicles (20:37), the ships sank due to his not relying on the Lord:
Eliezer son of Dodavahu of Mareshah prophesied against Jehoshaphat, saying, "Because you have made an alliance with Ahaziah, the LORD will destroy what you have made." The ships were wrecked and were not able to set sail to trade.