224725760937216 has 3456 divisors, whose sum is σ = 883381886779392. Its totient is φ = 55767282278400.

The previous prime is 224725760937191. The next prime is 224725760937217. The reversal of 224725760937216 is 612739067527422.

It is a happy number.

224725760937216 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 2 + 5 + 7 + 609 + 3 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224725760937217) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1769494180545 + ... + 1769494180671.

It is an arithmetic number, because the mean of its divisors is an integer number (255608184832).

Almost surely, 2^{224725760937216} 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 224725760937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441690943389696).

224725760937216 is an abundant number, since it is smaller than the sum of its proper divisors (658656125842176).

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

224725760937216 is an equidigital number, since it uses as much as digits as its factorization.

224725760937216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 224725760937216 in words is "two hundred twenty-four trillion, seven hundred twenty-five billion, seven hundred sixty million, nine hundred thirty-seven thousand, two hundred sixteen".