2018133916800 has 192 divisors, whose sum is σ = 6648378449760. Its totient is φ = 538075955200.

The previous prime is 2018133916739. The next prime is 2018133916859. The reversal of 2018133916800 is 86193318102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2018133916800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69211024 + ... + 69240176.

Almost surely, 2^{2018133916800} is an apocalyptic number.

2018133916800 is a gapful number since it is divisible by the number (20) 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 2018133916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324189224880).

2018133916800 is an abundant number, since it is smaller than the sum of its proper divisors (4630244532960).

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

2018133916800 is a wasteful number, since it uses less digits than its factorization.

2018133916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36391 (or 36374 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 2018133916800 in words is "two trillion, eighteen billion, one hundred thirty-three million, nine hundred sixteen thousand, eight hundred".