224417841152 has 48 divisors (see below), whose sum is σ = 449000404245. Its totient is φ = 112166043648.

The previous prime is 224417841149. The next prime is 224417841161. The reversal of 224417841152 is 251148714422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 146768674816 + 77649166336 = 383104^2 + 278656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334976.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 85752548 + ... + 85755164.

Almost surely, 2^224417841152 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 224417841152

224417841152 is an abundant number, since it is smaller than the sum of its proper divisors (224582563093).

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

224417841152 is an frugal number, since it uses more digits than its factorization.

224417841152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 2619 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The spelling of 224417841152 in words is "two hundred twenty-four billion, four hundred seventeen million, eight hundred forty-one thousand, one hundred fifty-two".