224986320000 has 1080 divisors, whose sum is σ = 896883987285. Its totient is φ = 54093312000.

The previous prime is 224986319989. The next prime is 224986320007. The reversal of 224986320000 is 23689422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 87724961856 + 137261358144 = 296184^2 + 370488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335400.

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 (224986320007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5232239979 + ... + 5232240021.

Almost surely, 2^224986320000 is an apocalyptic number.

224986320000 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 224986320000

224986320000 is an abundant number, since it is smaller than the sum of its proper divisors (671897667285).

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

224986320000 is an equidigital number, since it uses as much as digits as its factorization.

224986320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 224986320000 in words is "two hundred twenty-four billion, nine hundred eighty-six million, three hundred twenty thousand".