Davidowitz was born to a family of doctors – his father, Filipp Abramovich, was a venereologist, and mother, Raisa Solomonovna, a paediatrician.

During the Soviet period, Davidowitz was published in the Krokodil magazine under the pseudonyms of Julius Caesar, Ernest Hemingway, Honoré de Balzac, and "French writer A. David" in the Smiles of All Sizes section, and his work included in many collections of aphorisms.

February 29, 2020, on the Great leap Shabbath, Arcady Davidowitz appealed to the world community for the recognition of this day as a holiday uniting all people, regardless of race, religion, nationality, citizenship, profession or gender.

By quantity of citations, Davidowitz by far surpasses authors such as Stanisław Jerzy Lec, Friedrich Nietzsche, Leo Tolstoy, Arthur Schopenhauer, and many others.

In the words of Russian artist and society commentator Andrey Bilzho, "Davidowitz knows something about life which you, dear reader, and I do not."