224336079800448 has 512 divisors, whose sum is σ = 764167184916480. Its totient is φ = 56608317849600.

The previous prime is 224336079800419. The next prime is 224336079800449. The reversal of 224336079800448 is 844008970633422.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 224336079800391 and 224336079800400.

It is not an unprimeable number, because it can be changed into a prime (224336079800449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722989465 + ... + 723299687.

It is an arithmetic number, because the mean of its divisors is an integer number (1492514033040).

Almost surely, 2^{224336079800448} is an apocalyptic number.

224336079800448 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 224336079800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382083592458240).

224336079800448 is an abundant number, since it is smaller than the sum of its proper divisors (539831105116032).

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

224336079800448 is a wasteful number, since it uses less digits than its factorization.

224336079800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310956 (or 310944 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 224336079800448 in words is "two hundred twenty-four trillion, three hundred thirty-six billion, seventy-nine million, eight hundred thousand, four hundred forty-eight".