384927816819 has 128 divisors (see below), whose sum is σ = 676312268800. Its totient is φ = 193255372800.

The previous prime is 384927816787. The next prime is 384927816821. The reversal of 384927816819 is 918618729483.

It is not a de Polignac number, because 384927816819 - 2⁵ = 384927816787 is a prime.

It is a super-2 number, since 2×384927816819² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384927816819.

It is not an unprimeable number, because it can be changed into a prime (384927816919) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25288299 + ... + 25303515.

It is an arithmetic number, because the mean of its divisors is an integer number (5283689600).

Almost surely, 2^384927816819 is an apocalyptic number.

384927816819 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

384927816819 is a deficient number, since it is larger than the sum of its proper divisors (291384451981).

384927816819 is a wasteful number, since it uses less digits than its factorization.

384927816819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15346 (or 15332 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The spelling of 384927816819 in words is "three hundred eighty-four billion, nine hundred twenty-seven million, eight hundred sixteen thousand, eight hundred nineteen".