13129749674184 has 512 divisors, whose sum is σ = 41403504844800. Its totient is φ = 3409992069120.

The previous prime is 13129749674141. The next prime is 13129749674219. The reversal of 13129749674184 is 48147694792131.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4745119569 + ... + 4745122335.

It is an arithmetic number, because the mean of its divisors is an integer number (80866220400).

Almost surely, 2^{13129749674184} 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 13129749674184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701752422400).

13129749674184 is an abundant number, since it is smaller than the sum of its proper divisors (28273755170616).

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

13129749674184 is a wasteful number, since it uses less digits than its factorization.

13129749674184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4241 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 66.

The spelling of 13129749674184 in words is "thirteen trillion, one hundred twenty-nine billion, seven hundred forty-nine million, six hundred seventy-four thousand, one hundred eighty-four".