225593131808 has 162 divisors, whose sum is σ = 519746496003. Its totient is φ = 96295485440.

The previous prime is 225593131801. The next prime is 225593131817. The reversal of 225593131808 is 808131395522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 194879868304 + 30713263504 = 441452^2 + 175252^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335852.

It is a super-2 number, since 2×225593131808² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225593131801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 502434368 + ... + 502434816.

Almost surely, 2^225593131808 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 225593131808

225593131808 is an abundant number, since it is smaller than the sum of its proper divisors (294153364195).

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

225593131808 is an equidigital number, since it uses as much as digits as its factorization.

225593131808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 225593131808 in words is "two hundred twenty-five billion, five hundred ninety-three million, one hundred thirty-one thousand, eight hundred eight".