13608683139744 has 480 divisors, whose sum is σ = 49937079177216. Its totient is φ = 3531990458880.

The previous prime is 13608683139719. The next prime is 13608683139829. The reversal of 13608683139744 is 44793138680631.

It is a happy number.

13608683139744 is a `hidden beast` number, since 1 + 3 + 608 + 6 + 8 + 3 + 13 + 9 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×13608683139744² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 264822277 + ... + 264873659.

Almost surely, 2^{13608683139744} is an apocalyptic number.

13608683139744 is a gapful number since it is divisible by the number (14) 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 13608683139744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968539588608).

13608683139744 is an abundant number, since it is smaller than the sum of its proper divisors (36328396037472).

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

13608683139744 is a wasteful number, since it uses less digits than its factorization.

13608683139744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52750 (or 52733 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13608683139744 in words is "thirteen trillion, six hundred eight billion, six hundred eighty-three million, one hundred thirty-nine thousand, seven hundred forty-four".