The Collaborative International Dictionary of English v.0.48:

Filthiness \Filth"i*ness\, n.
   1. The state of being filthy.
      [1913 Webster]

            Let us cleanse ourselves from all filthiness of the
            flesh and spirit.                     --2 Cor. vii.
                                                  1.
      [1913 Webster]

   2. That which is filthy, or makes filthy; foulness;
      nastiness; corruption; pollution; impurity.
      [1913 Webster]

            Carry forth the filthiness out of the holy place.
                                                  --2 Chron.
                                                  xxix. 5.
      [1913 Webster]

WordNet (r) 3.0 (2006):

filthiness
    n 1: a state characterized by foul or disgusting dirt and refuse
         [syn: filth, filthiness, foulness, nastiness]
    2: moral corruption or pollution; "this deformity and filthiness
       of sin"