18138836800 has 168 divisors, whose sum is σ = 54010096704. Its totient is φ = 5853143040.

The previous prime is 18138836789. The next prime is 18138836801. The reversal of 18138836800 is 863883181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18138836801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142767 + ... + 238033.

Almost surely, 2^18138836800 is an apocalyptic number.

18138836800 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 18138836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005048352).

18138836800 is an abundant number, since it is smaller than the sum of its proper divisors (35871259904).

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

18138836800 is a wasteful number, since it uses less digits than its factorization.

18138836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95313 (or 95298 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 18138836800 in words is "eighteen billion, one hundred thirty-eight million, eight hundred thirty-six thousand, eight hundred".