225528306336 has 288 divisors, whose sum is σ = 669080176128. Its totient is φ = 71982120960.

The previous prime is 225528306323. The next prime is 225528306433. The reversal of 225528306336 is 633603825522.

225528306336 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 2 + 8 + 3 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 225528306291 and 225528306300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520850376 + ... + 520850808.

It is an arithmetic number, because the mean of its divisors is an integer number (2323195056).

Almost surely, 2^225528306336 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 225528306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334540088064).

225528306336 is an abundant number, since it is smaller than the sum of its proper divisors (443551869792).

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

225528306336 is a wasteful number, since it uses less digits than its factorization.

225528306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 225528306336 in words is "two hundred twenty-five billion, five hundred twenty-eight million, three hundred six thousand, three hundred thirty-six".