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The Collaborative International Dictionary
Unutterableness

Unutterable \Un*ut"ter*a*ble\, a. Not utterable; incapable of being spoken or voiced; inexpressible; ineffable; unspeakable; as, unutterable anguish.

Sighed and looked unutterable things.
--Thomson. [1913 Webster] -- Un*ut"ter*a*ble*ness, n. -- Un*ut"ter*a*bly, adv.

Wiktionary
unutterableness

n. The state or condition of being unutterable.