384561216000 has 2560 divisors, whose sum is σ = 1737338803200. Its totient is φ = 82811289600.

The previous prime is 384561215977. The next prime is 384561216007. The reversal of 384561216000 is 612165483.

It is a happy number.

384561216000 is a `hidden beast` number, since 3 + 8 + 45 + 6 + 1 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384561216007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7255871974 + ... + 7255872026.

It is an arithmetic number, because the mean of its divisors is an integer number (678647970).

Almost surely, 2^384561216000 is an apocalyptic number.

384561216000 is a gapful number since it is divisible by the number (30) 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 384561216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868669401600).

384561216000 is an abundant number, since it is smaller than the sum of its proper divisors (1352777587200).

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

384561216000 is a wasteful number, since it uses less digits than its factorization.

384561216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 384561216000 in words is "three hundred eighty-four billion, five hundred sixty-one million, two hundred sixteen thousand".