13568938428816 has 135 divisors (see below), whose sum is σ = 38928171078433. Its totient is φ = 4412073527040.

The previous prime is 13568938428761. The next prime is 13568938428889. The reversal of 13568938428816 is 61882483986531.

The square root of 13568938428816 is 3683604.

It is a perfect power (a square), and thus also a powerful number.

13568938428816 is a `hidden beast` number, since 1 + 3 + 568 + 9 + 3 + 8 + 42 + 8 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 653827491216 + 12915110937600 = 808596^2 + 3593760^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1812329425 + ... + 1812336911.

Almost surely, 2^{13568938428816} is an apocalyptic number.

13568938428816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13568938428816 is the 3683604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13568938428816

13568938428816 is an abundant number, since it is smaller than the sum of its proper divisors (25359232649617).

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

13568938428816 is an frugal number, since it uses more digits than its factorization.

13568938428816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15070 (or 7533 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 13568938428816 in words is "thirteen trillion, five hundred sixty-eight billion, nine hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred sixteen".