13329142168188 has 768 divisors, whose sum is σ = 43381283291136. Its totient is φ = 3077805096960.

The previous prime is 13329142168187. The next prime is 13329142168201. The reversal of 13329142168188 is 88186124192331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13329142168187) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10437855406 + ... + 10437856682.

It is an arithmetic number, because the mean of its divisors is an integer number (56486045952).

Almost surely, 2^{13329142168188} 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 13329142168188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21690641645568).

13329142168188 is an abundant number, since it is smaller than the sum of its proper divisors (30052141122948).

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

13329142168188 is a wasteful number, since it uses less digits than its factorization.

13329142168188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 13329142168188 in words is "thirteen trillion, three hundred twenty-nine billion, one hundred forty-two million, one hundred sixty-eight thousand, one hundred eighty-eight".