224001446528 has 64 divisors (see below), whose sum is σ = 455897013120. Its totient is φ = 109581803520.

The previous prime is 224001446527. The next prime is 224001446531. The reversal of 224001446528 is 825644100422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 224001446491 and 224001446500.

It is not an unprimeable number, because it can be changed into a prime (224001446527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36640400 + ... + 36646512.

It is an arithmetic number, because the mean of its divisors is an integer number (7123390830).

Almost surely, 2^224001446528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224001446528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227948506560).

224001446528 is an abundant number, since it is smaller than the sum of its proper divisors (231895566592).

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

224001446528 is an equidigital number, since it uses as much as digits as its factorization.

224001446528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 224001446528 in words is "two hundred twenty-four billion, one million, four hundred forty-six thousand, five hundred twenty-eight".