224643809280 has 256 divisors, whose sum is σ = 784218024000. Its totient is φ = 54457794560.

The previous prime is 224643809251. The next prime is 224643809293. The reversal of 224643809280 is 82908346422.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385946 + ... + 5427494.

Almost surely, 2^224643809280 is an apocalyptic number.

224643809280 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 224643809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392109012000).

224643809280 is an abundant number, since it is smaller than the sum of its proper divisors (559574214720).

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

224643809280 is an equidigital number, since it uses as much as digits as its factorization.

224643809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41598 (or 41570 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 224643809280 in words is "two hundred twenty-four billion, six hundred forty-three million, eight hundred nine thousand, two hundred eighty".