224598089043072 has 320 divisors, whose sum is σ = 686084163751800. Its totient is φ = 72909600768000.

The previous prime is 224598089043071. The next prime is 224598089043077. The reversal of 224598089043072 is 270340980895422.

224598089043072 is a `hidden beast` number, since 2 + 2 + 4 + 59 + 8 + 0 + 89 + 0 + 430 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207042860552256 + 17555228490816 = 14388984^2 + 4189896^2 .

It is not an unprimeable number, because it can be changed into a prime (224598089043071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62119204 + ... + 65635292.

Almost surely, 2^{224598089043072} 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 224598089043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343042081875900).

224598089043072 is an abundant number, since it is smaller than the sum of its proper divisors (461486074708728).

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

224598089043072 is a wasteful number, since it uses less digits than its factorization.

224598089043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516277 (or 3516256 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 224598089043072 in words is "two hundred twenty-four trillion, five hundred ninety-eight billion, eighty-nine million, forty-three thousand, seventy-two".