God does not need our prayers to be who he is in his relationship with humanity. As a matter of fact, humanity’s silence can actually be a sign that affirms his omnipotence:
“But the LORD is in His holy temple. Let all the earth keep silence before Him.” (Habakkuk 2:20 NKJV)
You see, it is not God who receives strength to exist from hearing our prayers; to the contrary, it is us who receives strength to exist from God hearing us and answering.
“For this reason I bow my knees to the Father of our Lord Jesus Christ, from whom the whole family in heaven and earth is named, that He would grant you, according to the riches of His glory, to be strengthened with might through His Spirit in the inner man, that Christ may dwell in your hearts through faith; that you, being rooted and grounded in love, may be able to comprehend with all the saints what is the width and length and depth and height—to know the love of Christ which passes knowledge; that you may be filled with all the fullness of God.” (Ephesians 3:14-19)