225334884096 has 432 divisors, whose sum is σ = 777243509280. Its totient is φ = 64207503360.

The previous prime is 225334884059. The next prime is 225334884119. The reversal of 225334884096 is 690488433522.

225334884096 is a `hidden beast` number, since 2 + 2 + 5 + 33 + 488 + 40 + 96 = 666.

225334884096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176455810 + ... + 176457086.

It is an arithmetic number, because the mean of its divisors is an integer number (1799174790).

Almost surely, 2^225334884096 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 225334884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388621754640).

225334884096 is an abundant number, since it is smaller than the sum of its proper divisors (551908625184).

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

225334884096 is a wasteful number, since it uses less digits than its factorization.

225334884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 225334884096 in words is "two hundred twenty-five billion, three hundred thirty-four million, eight hundred eighty-four thousand, ninety-six".