18382369200 has 480 divisors, whose sum is σ = 66258259200. Its totient is φ = 4325314560.

The previous prime is 18382369157. The next prime is 18382369219. The reversal of 18382369200 is 296328381.

It is a super-2 number, since 2×18382369200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80979487 + ... + 80979713.

It is an arithmetic number, because the mean of its divisors is an integer number (138038040).

Almost surely, 2^18382369200 is an apocalyptic number.

18382369200 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 18382369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129129600).

18382369200 is an abundant number, since it is smaller than the sum of its proper divisors (47875890000).

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

18382369200 is a wasteful number, since it uses less digits than its factorization.

18382369200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 18382369200 in words is "eighteen billion, three hundred eighty-two million, three hundred sixty-nine thousand, two hundred".