225138908764 has 192 divisors, whose sum is σ = 523042652160. Its totient is φ = 82231200000.

The previous prime is 225138908749. The next prime is 225138908773. The reversal of 225138908764 is 467809831522.

225138908764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88671007 + ... + 88673545.

It is an arithmetic number, because the mean of its divisors is an integer number (2724180480).

It is a 1-persistent number, because it is pandigital, but 2⋅225138908764 = 450277817528 is not.

Almost surely, 2^225138908764 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 225138908764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261521326080).

225138908764 is an abundant number, since it is smaller than the sum of its proper divisors (297903743396).

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

225138908764 is a wasteful number, since it uses less digits than its factorization.

225138908764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 225138908764 in words is "two hundred twenty-five billion, one hundred thirty-eight million, nine hundred eight thousand, seven hundred sixty-four".