13821784000 has 112 divisors (see below), whose sum is σ = 35334464256. Its totient is φ = 5350272000.

The previous prime is 13821783979. The next prime is 13821784019. The reversal of 13821784000 is 48712831.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220134 + ... + 275866.

It is an arithmetic number, because the mean of its divisors is an integer number (315486288).

Almost surely, 2^13821784000 is an apocalyptic number.

13821784000 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 13821784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667232128).

13821784000 is an abundant number, since it is smaller than the sum of its proper divisors (21512680256).

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

13821784000 is an equidigital number, since it uses as much as digits as its factorization.

13821784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55791 (or 55771 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 13821784000 in words is "thirteen billion, eight hundred twenty-one million, seven hundred eighty-four thousand".