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The Collaborative International Dictionary
Prayerlessness

Prayerless \Prayer"less\ (?; 277), a. Not using prayer; habitually neglecting prayer to God; without prayer. ``The next time you go prayerless to bed.''
--Baxter. [1913 Webster] -- Prayer"less*ly, adv. -- Prayer"less*ness, n.

Wiktionary
prayerlessness

n. The state or condition of being prayerless; failure to pray.