224542716400 has 120 divisors (see below), whose sum is σ = 564928601184. Its totient is φ = 85605273600.

The previous prime is 224542716397. The next prime is 224542716401. The reversal of 224542716400 is 4617245422.

224542716400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224542716400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224542716401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2541772 + ... + 2628628.

Almost surely, 2^224542716400 is an apocalyptic number.

224542716400 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 224542716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282464300592).

224542716400 is an abundant number, since it is smaller than the sum of its proper divisors (340385884784).

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

224542716400 is a wasteful number, since it uses less digits than its factorization.

224542716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87179 (or 87168 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 224542716400 in words is "two hundred twenty-four billion, five hundred forty-two million, seven hundred sixteen thousand, four hundred".