224560740096 has 576 divisors, whose sum is σ = 838308172800. Its totient is φ = 58316267520.

The previous prime is 224560740091. The next prime is 224560740119. The reversal of 224560740096 is 690047065422.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224560740091) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43107540 + ... + 43112748.

Almost surely, 2^224560740096 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 224560740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419154086400).

224560740096 is an abundant number, since it is smaller than the sum of its proper divisors (613747432704).

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

224560740096 is an frugal number, since it uses more digits than its factorization.

224560740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 224560740096 in words is "two hundred twenty-four billion, five hundred sixty million, seven hundred forty thousand, ninety-six".