223824384000 has 1248 divisors, whose sum is σ = 960003023616. Its totient is φ = 50960793600.

The previous prime is 223824383977. The next prime is 223824384031. The reversal of 223824384000 is 483428322.

It is a happy number.

223824384000 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 243 + 8 + 400 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 870911872 + ... + 870912128.

It is an arithmetic number, because the mean of its divisors is an integer number (769233192).

Almost surely, 2^223824384000 is an apocalyptic number.

223824384000 is a gapful number since it is divisible by the number (20) 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 223824384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480001511808).

223824384000 is an abundant number, since it is smaller than the sum of its proper divisors (736178639616).

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

223824384000 is an frugal number, since it uses more digits than its factorization.

223824384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 223824384000 in words is "two hundred twenty-three billion, eight hundred twenty-four million, three hundred eighty-four thousand".