224345641728 has 288 divisors, whose sum is σ = 673586758656. Its totient is φ = 65771126784.

The previous prime is 224345641727. The next prime is 224345641759. The reversal of 224345641728 is 827146543422.

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

It is not an unprimeable number, because it can be changed into a prime (224345641727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63606301 + ... + 63609827.

It is an arithmetic number, because the mean of its divisors is an integer number (2338842912).

Almost surely, 2^224345641728 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 224345641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336793379328).

224345641728 is an abundant number, since it is smaller than the sum of its proper divisors (449241116928).

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

224345641728 is a wasteful number, since it uses less digits than its factorization.

224345641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3845 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The spelling of 224345641728 in words is "two hundred twenty-four billion, three hundred forty-five million, six hundred forty-one thousand, seven hundred twenty-eight".