225633349872 has 320 divisors, whose sum is σ = 756401587200. Its totient is φ = 63856760832.

The previous prime is 225633349853. The next prime is 225633349933. The reversal of 225633349872 is 278943336522.

It is a happy number.

225633349872 is a `hidden beast` number, since 2 + 2 + 56 + 3 + 33 + 498 + 72 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26204704 + ... + 26213312.

It is an arithmetic number, because the mean of its divisors is an integer number (2363754960).

Almost surely, 2^225633349872 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 225633349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378200793600).

225633349872 is an abundant number, since it is smaller than the sum of its proper divisors (530768237328).

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

225633349872 is an equidigital number, since it uses as much as digits as its factorization.

225633349872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8728 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 225633349872 in words is "two hundred twenty-five billion, six hundred thirty-three million, three hundred forty-nine thousand, eight hundred seventy-two".