18832138198944 has 192 divisors, whose sum is σ = 59919288613632. Its totient is φ = 5055676416000.

The previous prime is 18832138198933. The next prime is 18832138198999. The reversal of 18832138198944 is 44989183123881.

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 31 ways as a sum of consecutive naturals, for example, 5494384 + ... + 8237264.

It is an arithmetic number, because the mean of its divisors is an integer number (312079628196).

Almost surely, 2^{18832138198944} is an apocalyptic number.

18832138198944 is a gapful number since it is divisible by the number (14) 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 18832138198944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29959644306816).

18832138198944 is an abundant number, since it is smaller than the sum of its proper divisors (41087150414688).

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

18832138198944 is a wasteful number, since it uses less digits than its factorization.

18832138198944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743519 (or 2743511 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 69.

The spelling of 18832138198944 in words is "eighteen trillion, eight hundred thirty-two billion, one hundred thirty-eight million, one hundred ninety-eight thousand, nine hundred forty-four".