The name, God of the spirits of the prophets, emphasizes that God is Lord over the lives of the prophets and over their anointing. In fact He is God over all life.
God of the spirits of the prophets in Greek:
Ho Theos tōn pneumatōn tōn prophētōn
Strong’s Concordance numbers: 2316, 4151, 4396
Bible reference: Rev. 22:6
[The angel] said to me, “These words are faithful and true”; and the Lord, the God of the spirits of the prophets, sent His angel to show to His bond-servants the things which must soon take place. (Revelation 22:6)
NIV has “the God who inspires the prophets” and KJV has “the Lord God of the holy prophets.”
Similar names for God are the Father of Spirits, God of all flesh, and God of the spirits of all flesh.