224868349728 has 288 divisors, whose sum is σ = 744300228672. Its totient is φ = 63642009600.

The previous prime is 224868349721. The next prime is 224868349751. The reversal of 224868349728 is 827943868422.

224868349728 is a `hidden beast` number, since 2 + 2 + 48 + 6 + 83 + 497 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (224868349721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7039200 + ... + 7071072.

It is an arithmetic number, because the mean of its divisors is an integer number (2584375794).

Almost surely, 2^224868349728 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 224868349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372150114336).

224868349728 is an abundant number, since it is smaller than the sum of its proper divisors (519431878944).

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

224868349728 is a wasteful number, since it uses less digits than its factorization.

224868349728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32048 (or 32037 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 224868349728 in words is "two hundred twenty-four billion, eight hundred sixty-eight million, three hundred forty-nine thousand, seven hundred twenty-eight".