224458724868 has 192 divisors, whose sum is σ = 656848797696. Its totient is φ = 58176000000.

The previous prime is 224458724827. The next prime is 224458724923. The reversal of 224458724868 is 868427854422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11101168 + ... + 11121368.

It is an arithmetic number, because the mean of its divisors is an integer number (3421087488).

Almost surely, 2^224458724868 is an apocalyptic number.

224458724868 is a gapful number since it is divisible by the number (28) 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 224458724868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328424398848).

224458724868 is an abundant number, since it is smaller than the sum of its proper divisors (432390072828).

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

224458724868 is a wasteful number, since it uses less digits than its factorization.

224458724868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20512 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 60.

The spelling of 224458724868 in words is "two hundred twenty-four billion, four hundred fifty-eight million, seven hundred twenty-four thousand, eight hundred sixty-eight".