13783924224 has 960 divisors, whose sum is σ = 53621568000. Its totient is φ = 3511517184.

The previous prime is 13783924213. The next prime is 13783924237. The reversal of 13783924224 is 42242938731.

13783924224 is a `hidden beast` number, since 1 + 37 + 8 + 392 + 4 + 224 = 666.

13783924224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13783924224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725469687 + ... + 725469705.

It is an arithmetic number, because the mean of its divisors is an integer number (55855800).

Almost surely, 2^13783924224 is an apocalyptic number.

13783924224 is a gapful number since it is divisible by the number (14) 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 13783924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784000).

13783924224 is an abundant number, since it is smaller than the sum of its proper divisors (39837643776).

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

13783924224 is an frugal number, since it uses more digits than its factorization.

13783924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13783924224 in words is "thirteen billion, seven hundred eighty-three million, nine hundred twenty-four thousand, two hundred twenty-four".