224643020560 has 160 divisors (see below), whose sum is σ = 609623481600. Its totient is φ = 76953074688.

The previous prime is 224643020543. The next prime is 224643020671. The reversal of 224643020560 is 65020346422.

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 31 ways as a sum of consecutive naturals, for example, 39154012 + ... + 39159748.

It is an arithmetic number, because the mean of its divisors is an integer number (3810146760).

Almost surely, 2^224643020560 is an apocalyptic number.

224643020560 is a gapful number since it is divisible by the number (20) 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 224643020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304811740800).

224643020560 is an abundant number, since it is smaller than the sum of its proper divisors (384980461040).

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

224643020560 is a wasteful number, since it uses less digits than its factorization.

224643020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 224643020560 its reverse (65020346422), we get a palindrome (289663366982).

The spelling of 224643020560 in words is "two hundred twenty-four billion, six hundred forty-three million, twenty thousand, five hundred sixty".