225004542048 has 576 divisors, whose sum is σ = 811550638080. Its totient is φ = 58118860800.

The previous prime is 225004542031. The next prime is 225004542053. The reversal of 225004542048 is 840245400522.

225004542048 is a `hidden beast` number, since 22 + 50 + 0 + 4 + 542 + 0 + 48 = 666.

225004542048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27465633 + ... + 27473823.

It is an arithmetic number, because the mean of its divisors is an integer number (1408942080).

Almost surely, 2^225004542048 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 225004542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405775319040).

225004542048 is an abundant number, since it is smaller than the sum of its proper divisors (586546096032).

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

225004542048 is a wasteful number, since it uses less digits than its factorization.

225004542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 225004542048 in words is "two hundred twenty-five billion, four million, five hundred forty-two thousand, forty-eight".