224959488800 has 162 divisors, whose sum is σ = 564283401129. Its totient is φ = 87574425600.

The previous prime is 224959488773. The next prime is 224959488811. The reversal of 224959488800 is 8884959422.

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 14 ways, for example, as 10557151504 + 214402337296 = 102748^2 + 463036^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335380.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224959488800.

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 26 ways as a sum of consecutive naturals, for example, 550022996 + ... + 550023404.

Almost surely, 2^224959488800 is an apocalyptic number.

224959488800 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 224959488800

224959488800 is an abundant number, since it is smaller than the sum of its proper divisors (339323912329).

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

224959488800 is an frugal number, since it uses more digits than its factorization.

224959488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 224959488800 in words is "two hundred twenty-four billion, nine hundred fifty-nine million, four hundred eighty-eight thousand, eight hundred".