13034338632168 has 128 divisors (see below), whose sum is σ = 37440787507200. Its totient is φ = 3704158884096.

The previous prime is 13034338632149. The next prime is 13034338632169. The reversal of 13034338632168 is 86123683343031.

It is a self number, because there is not a number n which added to its sum of digits gives 13034338632168.

It is not an unprimeable number, because it can be changed into a prime (13034338632169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28180918 + ... + 28639706.

It is an arithmetic number, because the mean of its divisors is an integer number (292506152400).

Almost surely, 2^{13034338632168} 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 13034338632168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720393753600).

13034338632168 is an abundant number, since it is smaller than the sum of its proper divisors (24406448875032).

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

13034338632168 is a wasteful number, since it uses less digits than its factorization.

13034338632168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459711 (or 459707 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 13034338632168 in words is "thirteen trillion, thirty-four billion, three hundred thirty-eight million, six hundred thirty-two thousand, one hundred sixty-eight".