18846945475200 has 672 divisors, whose sum is σ = 70171964064000. Its totient is φ = 4999420569600.

The previous prime is 18846945475133. The next prime is 18846945475207. The reversal of 18846945475200 is 257454964881.

It is a happy number.

18846945475200 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 69 + 4 + 5 + 47 + 520 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (18846945475207) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 445543651 + ... + 445585949.

Almost surely, 2^{18846945475200} is an apocalyptic number.

18846945475200 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 18846945475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085982032000).

18846945475200 is an abundant number, since it is smaller than the sum of its proper divisors (51325018588800).

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

18846945475200 is an equidigital number, since it uses as much as digits as its factorization.

18846945475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42532 (or 42500 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 18846945475200 in words is "eighteen trillion, eight hundred forty-six billion, nine hundred forty-five million, four hundred seventy-five thousand, two hundred".