225404315144000 has 224 divisors, whose sum is σ = 568278950653440. Its totient is φ = 88545902592000.

The previous prime is 225404315143979. The next prime is 225404315144053. The reversal of 225404315144000 is 441513404522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145203941 + ... + 146748059.

Almost surely, 2^{225404315144000} is an apocalyptic number.

225404315144000 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 225404315144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284139475326720).

225404315144000 is an abundant number, since it is smaller than the sum of its proper divisors (342874635509440).

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

225404315144000 is a wasteful number, since it uses less digits than its factorization.

225404315144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544474 (or 1544454 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 225404315144000 its reverse (441513404522), we get a palindrome (225845828548522).

The spelling of 225404315144000 in words is "two hundred twenty-five trillion, four hundred four billion, three hundred fifteen million, one hundred forty-four thousand".