(n.) The quality of being imperishable: indestructibility.

afterlife animal spirits animate existence animation athanasia athanasy being alive birth deathlessness eternal life eternal youth everlastingness existence fountain of youth having life heroic legend immortal name imperishability impregnability incorruptibility incorruption indelibility indestructibility ineffaceability ineradicability inerasableness inexpugnability invincibility invulnerability legend life lifetime liveliness living long life longevity memory remembrance spriteliness undying fame undyingness viability vitality vivacity