13189715344512 has 1152 divisors, whose sum is σ = 47970460137600. Its totient is φ = 3397863997440.

The previous prime is 13189715344499. The next prime is 13189715344573. The reversal of 13189715344512 is 21544351798131.

It is a happy number.

13189715344512 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 71 + 53 + 4 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28611095962 + ... + 28611096422.

It is an arithmetic number, because the mean of its divisors is an integer number (41641024425).

Almost surely, 2^{13189715344512} is an apocalyptic number.

13189715344512 is a gapful number since it is divisible by the number (12) 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 13189715344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985230068800).

13189715344512 is an abundant number, since it is smaller than the sum of its proper divisors (34780744793088).

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

13189715344512 is a wasteful number, since it uses less digits than its factorization.

13189715344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 868 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 13189715344512 in words is "thirteen trillion, one hundred eighty-nine billion, seven hundred fifteen million, three hundred forty-four thousand, five hundred twelve".