225443189638800 has 2520 divisors, whose sum is σ = 1007094481281000. Its totient is φ = 48165474631680.

The previous prime is 225443189638789. The next prime is 225443189638847. The reversal of 225443189638800 is 8836981344522.

225443189638800 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 431 + 8 + 96 + 38 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 72322166011536 + 153121023627264 = 8504244^2 + 12374208^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 36192514086 + ... + 36192520314.

It is an arithmetic number, because the mean of its divisors is an integer number (399640667175).

Almost surely, 2^{225443189638800} is an apocalyptic number.

225443189638800 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 225443189638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503547240640500).

225443189638800 is an abundant number, since it is smaller than the sum of its proper divisors (781651291642200).

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

225443189638800 is a wasteful number, since it uses less digits than its factorization.

225443189638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 225443189638800 in words is "two hundred twenty-five trillion, four hundred forty-three billion, one hundred eighty-nine million, six hundred thirty-eight thousand, eight hundred".