384801864976 has 15 divisors (see below), whose sum is σ = 745558420933. Its totient is φ = 192399691840.

The previous prime is 384801864959. The next prime is 384801865039. The reversal of 384801864976 is 679468108483.

The square root of 384801864976 is 620324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31870818576 + 352931046400 = 178524^2 + 594080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2403756 + ... + 2558836.

Almost surely, 2^384801864976 is an apocalyptic number.

384801864976 is the 620324-th square number.

It is an amenable number.

384801864976 is a deficient number, since it is larger than the sum of its proper divisors (360756555957).

384801864976 is an frugal number, since it uses more digits than its factorization.

384801864976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310170 (or 155083 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

Multiplying 384801864976 by its sum of digits (64), we get a square (24627319358464 = 4962592²).

The spelling of 384801864976 in words is "three hundred eighty-four billion, eight hundred one million, eight hundred sixty-four thousand, nine hundred seventy-six".