18968483938080 has 576 divisors, whose sum is σ = 64996262714880. Its totient is φ = 4645892579328.

The previous prime is 18968483938013. The next prime is 18968483938111. The reversal of 18968483938080 is 8083938486981.

It is a junction number, because it is equal to n+sod(n) for n = 18968483937993 and 18968483938011.

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, 632499726 + ... + 632529714.

It is an arithmetic number, because the mean of its divisors is an integer number (112840733880).

Almost surely, 2^{18968483938080} is an apocalyptic number.

18968483938080 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 18968483938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32498131357440).

18968483938080 is an abundant number, since it is smaller than the sum of its proper divisors (46027778776800).

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

18968483938080 is a wasteful number, since it uses less digits than its factorization.

18968483938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30153 (or 30122 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 75.

The spelling of 18968483938080 in words is "eighteen trillion, nine hundred sixty-eight billion, four hundred eighty-three million, nine hundred thirty-eight thousand, eighty".