225348480000 has 1760 divisors, whose sum is σ = 1006801720320. Its totient is φ = 49268736000.

The previous prime is 225348479921. The next prime is 225348480013. The reversal of 225348480000 is 84843522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9797759989 + ... + 9797760011.

It is an arithmetic number, because the mean of its divisors is an integer number (572046432).

Almost surely, 2^225348480000 is an apocalyptic number.

225348480000 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 225348480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503400860160).

225348480000 is an abundant number, since it is smaller than the sum of its proper divisors (781453240320).

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

225348480000 is an frugal number, since it uses more digits than its factorization.

225348480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 225348480000 in words is "two hundred twenty-five billion, three hundred forty-eight million, four hundred eighty thousand".