225123703056 has 560 divisors, whose sum is σ = 805060080000. Its totient is φ = 59489759232.

The previous prime is 225123703037. The next prime is 225123703097. The reversal of 225123703056 is 650307321522.

225123703056 is a `hidden beast` number, since 2 + 251 + 2 + 370 + 30 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225123703056.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81891570 + ... + 81894318.

Almost surely, 2^225123703056 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 225123703056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402530040000).

225123703056 is an abundant number, since it is smaller than the sum of its proper divisors (579936376944).

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

225123703056 is a wasteful number, since it uses less digits than its factorization.

225123703056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 225123703056 in words is "two hundred twenty-five billion, one hundred twenty-three million, seven hundred three thousand, fifty-six".