225456125000 has 252 divisors, whose sum is σ = 568512351855. Its totient is φ = 83803200000.

The previous prime is 225456124981. The next prime is 225456125009. The reversal of 225456125000 is 521654522.

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 11 ways, for example, as 141762792196 + 83693332804 = 376514^2 + 289298^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335750.

It is not an unprimeable number, because it can be changed into a prime (225456125009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2853874961 + ... + 2853875039.

Almost surely, 2^225456125000 is an apocalyptic number.

225456125000 is a gapful number since it is divisible by the number (20) 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 225456125000

225456125000 is an abundant number, since it is smaller than the sum of its proper divisors (343056226855).

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

225456125000 is an frugal number, since it uses more digits than its factorization.

225456125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Multiplying 225456125000 by its sum of digits (32), we get a square (7214596000000 = 2686000²).

Adding to 225456125000 its reverse (521654522), we get a palindrome (225977779522).

The spelling of 225456125000 in words is "two hundred twenty-five billion, four hundred fifty-six million, one hundred twenty-five thousand".