13129179549696 has 1872 divisors, whose sum is σ = 49316792179200. Its totient is φ = 3408321576960.

The previous prime is 13129179549683. The next prime is 13129179549719. The reversal of 13129179549696 is 69694597192131.

13129179549696 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 1 + 79 + 549 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×13129179549696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222528466915 + ... + 222528466973.

Almost surely, 2^{13129179549696} is an apocalyptic number.

13129179549696 is a gapful number since it is divisible by the number (16) 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 13129179549696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24658396089600).

13129179549696 is an abundant number, since it is smaller than the sum of its proper divisors (36187612629504).

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

13129179549696 is an frugal number, since it uses more digits than its factorization.

13129179549696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 131 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 72.

The spelling of 13129179549696 in words is "thirteen trillion, one hundred twenty-nine billion, one hundred seventy-nine million, five hundred forty-nine thousand, six hundred ninety-six".