13779712493568 has 576 divisors, whose sum is σ = 47235311585280. Its totient is φ = 3931477917696.

The previous prime is 13779712493531. The next prime is 13779712493587. The reversal of 13779712493568 is 86539421797731.

13779712493568 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 7 + 12 + 49 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13779712493496 and 13779712493505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2880974505 + ... + 2880979287.

It is an arithmetic number, because the mean of its divisors is an integer number (82005749280).

Almost surely, 2^{13779712493568} is an apocalyptic number.

13779712493568 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 13779712493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617655792640).

13779712493568 is an abundant number, since it is smaller than the sum of its proper divisors (33455599091712).

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

13779712493568 is an frugal number, since it uses more digits than its factorization.

13779712493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5622 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 13779712493568 in words is "thirteen trillion, seven hundred seventy-nine billion, seven hundred twelve million, four hundred ninety-three thousand, five hundred sixty-eight".