13884181920 has 384 divisors, whose sum is σ = 57042316800. Its totient is φ = 3087507456.

The previous prime is 13884181907. The next prime is 13884181931. The reversal of 13884181920 is 2918148831.

13884181920 is a `hidden beast` number, since 1 + 388 + 4 + 181 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112676 + ... + 1125084.

It is an arithmetic number, because the mean of its divisors is an integer number (148547700).

Almost surely, 2^13884181920 is an apocalyptic number.

13884181920 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 13884181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28521158400).

13884181920 is an abundant number, since it is smaller than the sum of its proper divisors (43158134880).

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

13884181920 is a wasteful number, since it uses less digits than its factorization.

13884181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 13884181920 in words is "thirteen billion, eight hundred eighty-four million, one hundred eighty-one thousand, nine hundred twenty".