384816793008 has 80 divisors (see below), whose sum is σ = 1009149854720. Its totient is φ = 126332414208.

The previous prime is 384816793003. The next prime is 384816793013. The reversal of 384816793008 is 800397618483.

It is an interprime number because it is at equal distance from previous prime (384816793003) and next prime (384816793013).

It is not an unprimeable number, because it can be changed into a prime (384816793003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22725441 + ... + 22742367.

It is an arithmetic number, because the mean of its divisors is an integer number (12614373184).

Almost surely, 2^384816793008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384816793008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504574927360).

384816793008 is an abundant number, since it is smaller than the sum of its proper divisors (624333061712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384816793008 is a wasteful number, since it uses less digits than its factorization.

384816793008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24074 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 384816793008 in words is "three hundred eighty-four billion, eight hundred sixteen million, seven hundred ninety-three thousand, eight".