224460216755320 has 256 divisors, whose sum is σ = 632729978496000. Its totient is φ = 69766253531136.

The previous prime is 224460216755237. The next prime is 224460216755323. The reversal of 224460216755320 is 23557612064422.

224460216755320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224460216755323) 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, 221341191 + ... + 222352969.

It is an arithmetic number, because the mean of its divisors is an integer number (2471601478500).

Almost surely, 2^{224460216755320} is an apocalyptic number.

224460216755320 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 224460216755320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316364989248000).

224460216755320 is an abundant number, since it is smaller than the sum of its proper divisors (408269761740680).

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

224460216755320 is a wasteful number, since it uses less digits than its factorization.

224460216755320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012902 (or 1012898 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 224460216755320 in words is "two hundred twenty-four trillion, four hundred sixty billion, two hundred sixteen million, seven hundred fifty-five thousand, three hundred twenty".