18813638112 has 192 divisors, whose sum is σ = 52306974720. Its totient is φ = 5912524800.

The previous prime is 18813638111. The next prime is 18813638203. The reversal of 18813638112 is 21183631881.

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 (18813638111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28548439 + ... + 28549097.

It is an arithmetic number, because the mean of its divisors is an integer number (272432160).

Almost surely, 2^18813638112 is an apocalyptic number.

18813638112 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 18813638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26153487360).

18813638112 is an abundant number, since it is smaller than the sum of its proper divisors (33493336608).

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

18813638112 is a wasteful number, since it uses less digits than its factorization.

18813638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 18813638112 in words is "eighteen billion, eight hundred thirteen million, six hundred thirty-eight thousand, one hundred twelve".