384799113216 has 640 divisors, whose sum is σ = 1332195480000. Its totient is φ = 108419088384.

The previous prime is 384799113191. The next prime is 384799113247. The reversal of 384799113216 is 612311997483.

384799113216 is a `hidden beast` number, since 38 + 479 + 9 + 1 + 132 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2582544310 + ... + 2582544458.

Almost surely, 2^384799113216 is an apocalyptic number.

384799113216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384799113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666097740000).

384799113216 is an abundant number, since it is smaller than the sum of its proper divisors (947396366784).

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

384799113216 is an equidigital number, since it uses as much as digits as its factorization.

384799113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 300 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 384799113216 in words is "three hundred eighty-four billion, seven hundred ninety-nine million, one hundred thirteen thousand, two hundred sixteen".