13608408000 has 448 divisors, whose sum is σ = 51618977280. Its totient is φ = 3124224000.

The previous prime is 13608407927. The next prime is 13608408067. The reversal of 13608408000 is 80480631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5014644 + ... + 5017356.

Almost surely, 2^13608408000 is an apocalyptic number.

13608408000 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 13608408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809488640).

13608408000 is an abundant number, since it is smaller than the sum of its proper divisors (38010569280).

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

13608408000 is a wasteful number, since it uses less digits than its factorization.

13608408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 13608408000 its reverse (80480631), we get a palindrome (13688888631).

The spelling of 13608408000 in words is "thirteen billion, six hundred eight million, four hundred eight thousand".