13138634170368 has 1176 divisors, whose sum is σ = 46665365378760. Its totient is φ = 3685420892160.

The previous prime is 13138634170357. The next prime is 13138634170369. The reversal of 13138634170368 is 86307143683131.

13138634170368 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 86 + 34 + 170 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138634170369) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17264959108 + ... + 17264959868.

Almost surely, 2^{13138634170368} is an apocalyptic number.

13138634170368 is a gapful number since it is divisible by the number (18) 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 13138634170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332682689380).

13138634170368 is an abundant number, since it is smaller than the sum of its proper divisors (33526731208392).

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

13138634170368 is an frugal number, since it uses more digits than its factorization.

13138634170368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13138634170368 in words is "thirteen trillion, one hundred thirty-eight billion, six hundred thirty-four million, one hundred seventy thousand, three hundred sixty-eight".