224457040816 has 60 divisors (see below), whose sum is σ = 466758909000. Its totient is φ = 104519533824.

The previous prime is 224457040807. The next prime is 224457040837. The reversal of 224457040816 is 618040754422.

224457040816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11460 + ... + 670108.

It is an arithmetic number, because the mean of its divisors is an integer number (7779315150).

Almost surely, 2^224457040816 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 224457040816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233379454500).

224457040816 is an abundant number, since it is smaller than the sum of its proper divisors (242301868184).

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

224457040816 is a wasteful number, since it uses less digits than its factorization.

224457040816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658754 (or 658729 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 224457040816 in words is "two hundred twenty-four billion, four hundred fifty-seven million, forty thousand, eight hundred sixteen".