225296443008 has 1152 divisors, whose sum is σ = 858623613120. Its totient is φ = 58274463744.

The previous prime is 225296443003. The next prime is 225296443033. The reversal of 225296443008 is 800344692522.

225296443008 is a `hidden beast` number, since 2 + 252 + 96 + 4 + 4 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (225296443003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1644499516 + ... + 1644499652.

Almost surely, 2^225296443008 is an apocalyptic number.

225296443008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225296443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429311806560).

225296443008 is an abundant number, since it is smaller than the sum of its proper divisors (633327170112).

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

225296443008 is a wasteful number, since it uses less digits than its factorization.

225296443008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 225296443008 in words is "two hundred twenty-five billion, two hundred ninety-six million, four hundred forty-three thousand, eight".