He cannot die and has effectively gained immortality.
They intend to give life over to death in a bid to gain immortality for themselves.
Peshotanu will live that long because he has gained immortality through his devotion to God.
Through his research he has gained immortality and immense power.
Later it is revealed that the family are killers and cannibals attempting to gain immortality.
They are a family of cannibals, who belong to a secret society attempting to gain immortality from it.
He usually signed off the letter saying "May you gain immortality"
Much of the time, these things only happen to mortals who gain immortality.
She is fifteen when she gains immortality at the beginning of the series.
Later he found not only to have been resurrected but to have gained immortality.