Patterns of belief focused on one or more god of extrahuman origin is called a theism. The pattern may be a reflection of social organization, e.g., the more centralized and stratified the society, the fewer gods.
Monotheism: belief in one god (Judaism, Christianity, Islam)
Henotheism: worship of only one god, while acknowledging that other gods exist. Henotheists do not necessarily view other gods as legitimate objects of worship, even while acknowledging they exist (Hinduism)
Polytheism: belief in many gods (Aztec, ancient Greeks, Egyptians)
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Lavenda Robert H. and Emily A. Schultz. 2010. Core Concepts in Cultural Anthropology, 4th edition. Boston: McGraw Hill Higher Education.
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Warms, Richard. 2008. Sacred Realms: Readings in the Anthropology of Religion. New York: Oxford University Press.