224517389448096 has 576 divisors, whose sum is σ = 675439964559360. Its totient is φ = 73350409559040.

The previous prime is 224517389447993. The next prime is 224517389448151. The reversal of 224517389448096 is 690844983715422.

224517389448096 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 17 + 3 + 89 + 448 + 0 + 96 = 666.

It is a super-3 number, since 3×224517389448096³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80443348461 + ... + 80443351251.

It is an arithmetic number, because the mean of its divisors is an integer number (1172638827360).

It is a 1-persistent number, because it is pandigital, but 2⋅224517389448096 = 449034778896192 is not.

Almost surely, 2^{224517389448096} 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 224517389448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337719982279680).

224517389448096 is an abundant number, since it is smaller than the sum of its proper divisors (450922575111264).

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

224517389448096 is a wasteful number, since it uses less digits than its factorization.

224517389448096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 224517389448096 in words is "two hundred twenty-four trillion, five hundred seventeen billion, three hundred eighty-nine million, four hundred forty-eight thousand, ninety-six".