13638189600 has 1296 divisors, whose sum is σ = 61128587520. Its totient is φ = 2844979200.

The previous prime is 13638189589. The next prime is 13638189601. The reversal of 13638189600 is 698183631.

It is a happy number.

13638189600 is a `hidden beast` number, since 1 + 3 + 6 + 38 + 1 + 8 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13638189601) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 317167179 + ... + 317167221.

It is an arithmetic number, because the mean of its divisors is an integer number (47167120).

Almost surely, 2^13638189600 is an apocalyptic number.

13638189600 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 13638189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

13638189600 is an abundant number, since it is smaller than the sum of its proper divisors (47490397920).

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

13638189600 is a wasteful number, since it uses less digits than its factorization.

13638189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13638189600 in words is "thirteen billion, six hundred thirty-eight million, one hundred eighty-nine thousand, six hundred".