228025473436800 has 1152 divisors, whose sum is σ = 932719145904000. Its totient is φ = 52577551319040.

The previous prime is 228025473436751. The next prime is 228025473436811. The reversal of 228025473436800 is 8634374520822.

228025473436800 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 2 + 547 + 34 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 632930317 + ... + 633290483.

It is an arithmetic number, because the mean of its divisors is an integer number (809652036375).

Almost surely, 2^{228025473436800} is an apocalyptic number.

228025473436800 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 228025473436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466359572952000).

228025473436800 is an abundant number, since it is smaller than the sum of its proper divisors (704693672467200).

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

228025473436800 is a wasteful number, since it uses less digits than its factorization.

228025473436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360318 (or 360298 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 228025473436800 in words is "two hundred twenty-eight trillion, twenty-five billion, four hundred seventy-three million, four hundred thirty-six thousand, eight hundred".