181224408412800 has 768 divisors, whose sum is σ = 704052058320000. Its totient is φ = 45366705192960.

The previous prime is 181224408412799. The next prime is 181224408412867. The reversal of 181224408412800 is 8214804422181.

181224408412800 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 2 + 440 + 84 + 128 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571204611 + ... + 571521789.

Almost surely, 2^{181224408412800} is an apocalyptic number.

181224408412800 is a gapful number since it is divisible by the number (10) 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 181224408412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352026029160000).

181224408412800 is an abundant number, since it is smaller than the sum of its proper divisors (522827649907200).

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

181224408412800 is a wasteful number, since it uses less digits than its factorization.

181224408412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317618 (or 317595 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 181224408412800 in words is "one hundred eighty-one trillion, two hundred twenty-four billion, four hundred eight million, four hundred twelve thousand, eight hundred".