225105423400000 has 1008 divisors, whose sum is σ = 663876738700560. Its totient is φ = 75220992000000.

The previous prime is 225105423399991. The next prime is 225105423400001. The reversal of 225105423400000 is 4324501522.

It can be written as a sum of positive squares in 24 ways, for example, as 115634235128896 + 109471188271104 = 10753336^2 + 10462848^2 .

It is not an unprimeable number, because it can be changed into a prime (225105423400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75818598516 + ... + 75818601484.

It is an arithmetic number, because the mean of its divisors is an integer number (658607875695).

Almost surely, 2^{225105423400000} is an apocalyptic number.

225105423400000 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 225105423400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331938369350280).

225105423400000 is an abundant number, since it is smaller than the sum of its proper divisors (438771315300560).

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

225105423400000 is a wasteful number, since it uses less digits than its factorization.

225105423400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 225105423400000 its reverse (4324501522), we get a palindrome (225109747901522).

The spelling of 225105423400000 in words is "two hundred twenty-five trillion, one hundred five billion, four hundred twenty-three million, four hundred thousand".