13252193448768 has 140 divisors (see below), whose sum is σ = 41594456307492. Its totient is φ = 4157550858240.

The previous prime is 13252193448761. The next prime is 13252193448773. The reversal of 13252193448768 is 86784439125231.

It is a happy number.

13252193448768 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 1 + 93 + 4 + 487 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8557309882944 + 4694883565824 = 2925288^2 + 2166768^2 .

It is a super-3 number, since 3×13252193448768³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252193448761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75099063 + ... + 75275318.

Almost surely, 2^{13252193448768} is an apocalyptic number.

13252193448768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13252193448768 is an abundant number, since it is smaller than the sum of its proper divisors (28342262858724).

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

13252193448768 is a wasteful number, since it uses less digits than its factorization.

13252193448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150374422 (or 150374403 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 13252193448768 in words is "thirteen trillion, two hundred fifty-two billion, one hundred ninety-three million, four hundred forty-eight thousand, seven hundred sixty-eight".