13869993600 has 288 divisors, whose sum is σ = 51645578400. Its totient is φ = 3537684480.

The previous prime is 13869993563. The next prime is 13869993601. The reversal of 13869993600 is 639996831.

13869993600 is a `hidden beast` number, since 138 + 69 + 99 + 360 + 0 = 666.

13869993600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13869993601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 651931 + ... + 672869.

It is an arithmetic number, because the mean of its divisors is an integer number (179324925).

Almost surely, 2^13869993600 is an apocalyptic number.

13869993600 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 13869993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25822789200).

13869993600 is an abundant number, since it is smaller than the sum of its proper divisors (37775584800).

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

13869993600 is a wasteful number, since it uses less digits than its factorization.

13869993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20992 (or 20972 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13869993600 in words is "thirteen billion, eight hundred sixty-nine million, nine hundred ninety-three thousand, six hundred".