18974816000 has 576 divisors, whose sum is σ = 58773012480. Its totient is φ = 5960908800.

The previous prime is 18974815997. The next prime is 18974816027. The reversal of 18974816000 is 61847981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149407937 + ... + 149408063.

It is an arithmetic number, because the mean of its divisors is an integer number (102036480).

Almost surely, 2^18974816000 is an apocalyptic number.

18974816000 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 18974816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29386506240).

18974816000 is an abundant number, since it is smaller than the sum of its proper divisors (39798196480).

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

18974816000 is a wasteful number, since it uses less digits than its factorization.

18974816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 18974816000 in words is "eighteen billion, nine hundred seventy-four million, eight hundred sixteen thousand".