13608144000000 has 1848 divisors, whose sum is σ = 54784694996928. Its totient is φ = 3252480000000.

The previous prime is 13608143999999. The next prime is 13608144000001. The reversal of 13608144000000 is 44180631.

13608144000000 is a `hidden beast` number, since 1 + 3 + 608 + 14 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13608143999999) and next prime (13608144000001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13608144000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 191663999965 + ... + 191664000035.

Almost surely, 2^{13608144000000} is an apocalyptic number.

13608144000000 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 13608144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27392347498464).

13608144000000 is an abundant number, since it is smaller than the sum of its proper divisors (41176550996928).

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

13608144000000 is an frugal number, since it uses more digits than its factorization.

13608144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13608144000000 its reverse (44180631), we get a palindrome (13608188180631).

The spelling of 13608144000000 in words is "thirteen trillion, six hundred eight billion, one hundred forty-four million", and thus it is an aban number.