225532638648 has 72 divisors (see below), whose sum is σ = 631157155200. Its totient is φ = 72752441760.

The previous prime is 225532638647. The next prime is 225532638671. The reversal of 225532638648 is 846836235522.

225532638648 is a `hidden beast` number, since 2 + 2 + 5 + 532 + 63 + 8 + 6 + 48 = 666.

225532638648 is digitally balanced in base 2, 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 (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225532638594 and 225532638603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225532638641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1560568 + ... + 1698951.

It is an arithmetic number, because the mean of its divisors is an integer number (8766071600).

Almost surely, 2^225532638648 is an apocalyptic number.

It is an amenable number.

225532638648 is an abundant number, since it is smaller than the sum of its proper divisors (405624516552).

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

225532638648 is a wasteful number, since it uses less digits than its factorization.

225532638648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259593 (or 3259555 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 225532638648 in words is "two hundred twenty-five billion, five hundred thirty-two million, six hundred thirty-eight thousand, six hundred forty-eight".