225395610948000 has 288 divisors, whose sum is σ = 842030553349440. Its totient is φ = 56942048908800.

The previous prime is 225395610947971. The next prime is 225395610948031. The reversal of 225395610948000 is 849016593522.

225395610948000 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 9 + 56 + 109 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164078874 + ... + 165446873.

It is an arithmetic number, because the mean of its divisors is an integer number (2923717199130).

Almost surely, 2^{225395610948000} is an apocalyptic number.

225395610948000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225395610948000 is an abundant number, since it is smaller than the sum of its proper divisors (616634942401440).

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

225395610948000 is a wasteful number, since it uses less digits than its factorization.

225395610948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329525797 (or 329525776 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 225395610948000 in words is "two hundred twenty-five trillion, three hundred ninety-five billion, six hundred ten million, nine hundred forty-eight thousand".