224038470656 has 1056 divisors, whose sum is σ = 683559917568. Its totient is φ = 70849658880.

The previous prime is 224038470641. The next prime is 224038470697. The reversal of 224038470656 is 656074830422.

224038470656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224038470656.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5210196971 + ... + 5210197013.

It is an arithmetic number, because the mean of its divisors is an integer number (647310528).

Almost surely, 2^224038470656 is an apocalyptic number.

224038470656 is a gapful number since it is divisible by the number (26) 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 224038470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341779958784).

224038470656 is an abundant number, since it is smaller than the sum of its proper divisors (459521446912).

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

224038470656 is a wasteful number, since it uses less digits than its factorization.

224038470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 224038470656 in words is "two hundred twenty-four billion, thirty-eight million, four hundred seventy thousand, six hundred fifty-six".