13024363948192 has 96 divisors (see below), whose sum is σ = 27208305057024. Its totient is φ = 6115973529600.

The previous prime is 13024363948187. The next prime is 13024363948199. The reversal of 13024363948192 is 29184936342031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13024363948199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652415203 + ... + 652435165.

It is an arithmetic number, because the mean of its divisors is an integer number (283419844344).

Almost surely, 2^{13024363948192} 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 13024363948192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604152528512).

13024363948192 is an abundant number, since it is smaller than the sum of its proper divisors (14183941108832).

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

13024363948192 is a wasteful number, since it uses less digits than its factorization.

13024363948192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22502 (or 22494 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 13024363948192 in words is "thirteen trillion, twenty-four billion, three hundred sixty-three million, nine hundred forty-eight thousand, one hundred ninety-two".