The notion of maximal greatness is arguably part of the very concept of God: something greater than God is not even possible. But how should we understand this notion? The aim of this paper is to provide a Śaivist answer to this question by analyzing the form of theism advocated in the Pratyabhijñā tradition. First, I extract a model of divine greatness, the Hierarchical Model, from Nagasawa’s work "Maximal God". According to the Hierarchical Model, God is that than which nothing (...) could be greater by virtue of being better suited than all other beings in relation to certain great-making properties (§1). I then offer an analysis of the form of theism advocated in the Pratyabhijñā tradition by discussing passages from the works of Somānanda, the founder of the Pratyabhijñā school, and of Utpaladeva, the most prominent of Somānanda’s disciples. I argue that the Pratyabhijñā theist cannot account for divine greatness in terms of the Hierarchical Model. My argument is that the Hierarchical Model requires a comparison between God and other beings that cannot be made with the Pratyabhijñā God (§2). Finally, I develop an original alternative model, the Unlimited Nature Model, that accounts for God’s maximal greatness in a way that suits Pratyabhijñā’s theism. According to the Unlimited Nature Model, the nature of all ordinary beings is metaphysically limited as a result of realizing only a small portion of the potential of what could be, and God is maximally great because only he has a completely unlimited nature (§3). (shrink)