13758645768 has 128 divisors (see below), whose sum is σ = 42508800000. Its totient is φ = 3621049344.

The previous prime is 13758645743. The next prime is 13758645779. The reversal of 13758645768 is 86754685731.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82983 + ... + 185481.

It is an arithmetic number, because the mean of its divisors is an integer number (332100000).

Almost surely, 2^13758645768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13758645768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254400000).

13758645768 is an abundant number, since it is smaller than the sum of its proper divisors (28750154232).

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

13758645768 is a wasteful number, since it uses less digits than its factorization.

13758645768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102579 (or 102575 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 60.

It can be divided in two parts, 13758 and 645768, that added together give a triangular number (659526 = T₁₁₄₈).

The spelling of 13758645768 in words is "thirteen billion, seven hundred fifty-eight million, six hundred forty-five thousand, seven hundred sixty-eight".