225145454600 has 192 divisors, whose sum is σ = 595213332480. Its totient is φ = 78458400000.

The previous prime is 225145454581. The next prime is 225145454603. The reversal of 225145454600 is 6454541522.

225145454600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225145454600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225145454603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7008575 + ... + 7040625.

It is an arithmetic number, because the mean of its divisors is an integer number (3100069440).

Almost surely, 2^225145454600 is an apocalyptic number.

225145454600 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 225145454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297606666240).

225145454600 is an abundant number, since it is smaller than the sum of its proper divisors (370067877880).

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

225145454600 is a wasteful number, since it uses less digits than its factorization.

225145454600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212 (or 32203 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 225145454600 in words is "two hundred twenty-five billion, one hundred forty-five million, four hundred fifty-four thousand, six hundred".