225754369568 has 270 divisors, whose sum is σ = 568100986803. Its totient is φ = 88051541760.

The previous prime is 225754369567. The next prime is 225754369591. The reversal of 225754369568 is 865963457522.

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 3 ways, for example, as 3952144 + 225750417424 = 1988^2 + 475132^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335972.

It is a self number, because there is not a number n which added to its sum of digits gives 225754369568.

It is not an unprimeable number, because it can be changed into a prime (225754369567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3179638973 + ... + 3179639043.

Almost surely, 2^225754369568 is an apocalyptic number.

225754369568 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 225754369568

225754369568 is an abundant number, since it is smaller than the sum of its proper divisors (342346617235).

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

225754369568 is an frugal number, since it uses more digits than its factorization.

225754369568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 93 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 62.

The spelling of 225754369568 in words is "two hundred twenty-five billion, seven hundred fifty-four million, three hundred sixty-nine thousand, five hundred sixty-eight".