13869576000 has 448 divisors, whose sum is σ = 58161692160. Its totient is φ = 3169843200.

The previous prime is 13869575959. The next prime is 13869576001. The reversal of 13869576000 is 67596831.

It is a happy number.

13869576000 is a `hidden beast` number, since 1 + 38 + 6 + 9 + 5 + 7 + 600 + 0 = 666.

13869576000 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 (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13869576001) 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 63 ways as a sum of consecutive naturals, for example, 1507414 + ... + 1516586.

Almost surely, 2^13869576000 is an apocalyptic number.

13869576000 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 13869576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080846080).

13869576000 is an abundant number, since it is smaller than the sum of its proper divisors (44292116160).

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

13869576000 is an equidigital number, since it uses as much as digits as its factorization.

13869576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13869576000 in words is "thirteen billion, eight hundred sixty-nine million, five hundred seventy-six thousand".