224391199968 has 288 divisors, whose sum is σ = 715366858752. Its totient is φ = 68780275200.

The previous prime is 224391199961. The next prime is 224391199973. The reversal of 224391199968 is 869991193422.

224391199968 is a `hidden beast` number, since 2 + 2 + 439 + 1 + 199 + 9 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224391199961) 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, 27390753 + ... + 27398943.

It is an arithmetic number, because the mean of its divisors is an integer number (2483912704).

Almost surely, 2^224391199968 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 224391199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357683429376).

224391199968 is an abundant number, since it is smaller than the sum of its proper divisors (490975658784).

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

224391199968 is a wasteful number, since it uses less digits than its factorization.

224391199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8480 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 224391199968 in words is "two hundred twenty-four billion, three hundred ninety-one million, one hundred ninety-nine thousand, nine hundred sixty-eight".