13984199424 has 288 divisors, whose sum is σ = 46884454400. Its totient is φ = 4075868160.

The previous prime is 13984199419. The next prime is 13984199477. The reversal of 13984199424 is 42499148931.

13984199424 is a `hidden beast` number, since 1 + 3 + 98 + 41 + 99 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703169 + ... + 1711359.

Almost surely, 2^13984199424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13984199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442227200).

13984199424 is an abundant number, since it is smaller than the sum of its proper divisors (32900254976).

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

13984199424 is a wasteful number, since it uses less digits than its factorization.

13984199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8228 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 13984199424 in words is "thirteen billion, nine hundred eighty-four million, one hundred ninety-nine thousand, four hundred twenty-four".