224400320144 has 240 divisors, whose sum is σ = 620125892736. Its totient is φ = 75954585600.

The previous prime is 224400320141. The next prime is 224400320147. The reversal of 224400320144 is 441023004422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224400320141) and next prime (224400320147).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (224400320141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4604384 + ... + 4652864.

Almost surely, 2^224400320144 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 224400320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310062946368).

224400320144 is an abundant number, since it is smaller than the sum of its proper divisors (395725572592).

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

224400320144 is a wasteful number, since it uses less digits than its factorization.

224400320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48554 (or 48531 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 224400320144 its reverse (441023004422), we get a palindrome (665423324566).

The spelling of 224400320144 in words is "two hundred twenty-four billion, four hundred million, three hundred twenty thousand, one hundred forty-four".