225478252843200 has 2016 divisors, whose sum is σ = 1013677786183680. Its totient is φ = 48526868275200.

The previous prime is 225478252843171. The next prime is 225478252843279. The reversal of 225478252843200 is 2348252874522.

225478252843200 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 7 + 82 + 528 + 4 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2427923167 + ... + 2428016033.

Almost surely, 2^{225478252843200} is an apocalyptic number.

225478252843200 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 225478252843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506838893091840).

225478252843200 is an abundant number, since it is smaller than the sum of its proper divisors (788199533340480).

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

225478252843200 is a wasteful number, since it uses less digits than its factorization.

225478252843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92980 (or 92952 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 225478252843200 in words is "two hundred twenty-five trillion, four hundred seventy-eight billion, two hundred fifty-two million, eight hundred forty-three thousand, two hundred".