The Collaborative International Dictionary of English v.0.48:

Ungodly \Un*god"ly\, a.
   1. Not godly; not having regard for God; disobedient to God;
      wicked; impious; sinful.
      [1913 Webster]

   2. Polluted by sin or wickedness.
      [1913 Webster]

            The hours of this ungodly day.        --Shak.
      [1913 Webster]
      [1913 Webster] -- Un*god"li*ly, adv. --
      Un*god"li*ness, n.
      [1913 Webster]
      [1913 Webster]

WordNet (r) 3.0 (2006):

ungodliness
    n 1: impiety by virtue of not being a godly person [syn:
         ungodliness, godlessness] [ant: godliness]

Moby Thesaurus II by Grady Ward, 1.0:

34 Moby Thesaurus words for "ungodliness":
   amorality, backsliding, carnality, criminality, delinquency, evil,
   evil nature, godlessness, immorality, impiety, impurity,
   irreligion, moral delinquency, peccability, prodigality,
   recidivism, sinfulness, un-Christliness, unangelicalness,
   unchastity, unchristianliness, uncleanness, ungoodness, unholiness,
   unmorality, unrighteousness, unsaintliness, unvirtuousness, vice,
   viciousness, wantonness, waywardness, wickedness, wrongdoing