Paramahamsa, also spelled paramahansa or paramhansa, is a Sanskrit religio-theological title of honor applied to Hindu spiritual teachers who are regarded as having attained enlightenment. The title literally means "supreme swan," and symbolizes spiritual discrimination. The swan is equally at home on land and on water; similarly, the true sage is equally at home in the realms of matter and of spirit. To be in divine ecstasy and simultaneously to be actively wakeful is the paramahansa state; the 'royal swan' of the soul floats in the cosmic ocean, beholding both its body and the ocean as manifestations of the same Spirit. The word 'Paramahamsa' signifies one who is Awakened in all realms. Paramahansa is the highest level of spiritual development in which a union with ultimate reality has been attained by a sannyasi.
Example via www.mindpodnetwork.com: The Gospel of Sri Ramakrishna