18839181312 has 576 divisors, whose sum is σ = 68904108000. Its totient is φ = 5053612032.

The previous prime is 18839181311. The next prime is 18839181341. The reversal of 18839181312 is 21318193881.

18839181312 is a `hidden beast` number, since 188 + 391 + 81 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839181311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46061364 + ... + 46061772.

Almost surely, 2^18839181312 is an apocalyptic number.

18839181312 is a gapful number since it is divisible by the number (12) 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 18839181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34452054000).

18839181312 is an abundant number, since it is smaller than the sum of its proper divisors (50064926688).

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

18839181312 is a wasteful number, since it uses less digits than its factorization.

18839181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 438 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 18839181312 in words is "eighteen billion, eight hundred thirty-nine million, one hundred eighty-one thousand, three hundred twelve".