13608055738368 has 1872 divisors, whose sum is σ = 51772613867520. Its totient is φ = 3560678424576.

The previous prime is 13608055738351. The next prime is 13608055738379. The reversal of 13608055738368 is 86383755080631.

It is a happy number.

13608055738368 is a `hidden beast` number, since 1 + 360 + 80 + 55 + 73 + 83 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107150045121 + ... + 107150045247.

Almost surely, 2^{13608055738368} is an apocalyptic number.

13608055738368 is a gapful number since it is divisible by the number (18) 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 13608055738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886306933760).

13608055738368 is an abundant number, since it is smaller than the sum of its proper divisors (38164558129152).

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

13608055738368 is an frugal number, since it uses more digits than its factorization.

13608055738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 13608055738368 in words is "thirteen trillion, six hundred eight billion, fifty-five million, seven hundred thirty-eight thousand, three hundred sixty-eight".