225808487424 has 660 divisors, whose sum is σ = 742451689980. Its totient is φ = 68319313920.

The previous prime is 225808487407. The next prime is 225808487431. The reversal of 225808487424 is 424784808522.

It is a happy number.

225808487424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 137813197824 + 87995289600 = 371232^2 + 296640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1247560614 + ... + 1247560794.

It is an arithmetic number, because the mean of its divisors is an integer number (1124926803).

Almost surely, 2^225808487424 is an apocalyptic number.

225808487424 is a gapful number since it is divisible by the number (24) 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 225808487424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371225844990).

225808487424 is an abundant number, since it is smaller than the sum of its proper divisors (516643202556).

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

225808487424 is a wasteful number, since it uses less digits than its factorization.

225808487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 225808487424 in words is "two hundred twenty-five billion, eight hundred eight million, four hundred eighty-seven thousand, four hundred twenty-four".