225688462272 has 1344 divisors, whose sum is σ = 878175129600. Its totient is φ = 56246980608.

The previous prime is 225688462213. The next prime is 225688462339. The reversal of 225688462272 is 272264886522.

It is a happy number.

225688462272 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 8 + 8 + 4 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 4801882153 + ... + 4801882199.

Almost surely, 2^225688462272 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 225688462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439087564800).

225688462272 is an abundant number, since it is smaller than the sum of its proper divisors (652486667328).

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

225688462272 is an equidigital number, since it uses as much as digits as its factorization.

225688462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 225688462272 in words is "two hundred twenty-five billion, six hundred eighty-eight million, four hundred sixty-two thousand, two hundred seventy-two".