13638546000 has 240 divisors, whose sum is σ = 47896363008. Its totient is φ = 3616992000.

The previous prime is 13638545969. The next prime is 13638546001. The reversal of 13638546000 is 64583631.

13638546000 is a `hidden beast` number, since 13 + 6 + 38 + 5 + 4 + 600 + 0 = 666.

13638546000 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638546001) 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 47 ways as a sum of consecutive naturals, for example, 3436017 + ... + 3439983.

Almost surely, 2^13638546000 is an apocalyptic number.

13638546000 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 13638546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23948181504).

13638546000 is an abundant number, since it is smaller than the sum of its proper divisors (34257817008).

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

13638546000 is a wasteful number, since it uses less digits than its factorization.

13638546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13638546000 in words is "thirteen billion, six hundred thirty-eight million, five hundred forty-six thousand".