18445488600 has 768 divisors, whose sum is σ = 74309529600. Its totient is φ = 3674880000.

The previous prime is 18445488559. The next prime is 18445488613. The reversal of 18445488600 is 688454481.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18445488600.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 182628550 + ... + 182628650.

It is an arithmetic number, because the mean of its divisors is an integer number (96757200).

Almost surely, 2^18445488600 is an apocalyptic number.

18445488600 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 18445488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37154764800).

18445488600 is an abundant number, since it is smaller than the sum of its proper divisors (55864041000).

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

18445488600 is a wasteful number, since it uses less digits than its factorization.

18445488600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 18445488600 in words is "eighteen billion, four hundred forty-five million, four hundred eighty-eight thousand, six hundred".