129631786557168 has 480 divisors, whose sum is σ = 412412907456000. Its totient is φ = 35067564499968.

The previous prime is 129631786557157. The next prime is 129631786557197. The reversal of 129631786557168 is 861755687136921.

It is a self number, because there is not a number n which added to its sum of digits gives 129631786557168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11904833068 + ... + 11904843956.

It is an arithmetic number, because the mean of its divisors is an integer number (859193557200).

Almost surely, 2^{129631786557168} 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 129631786557168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206206453728000).

129631786557168 is an abundant number, since it is smaller than the sum of its proper divisors (282781120898832).

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

129631786557168 is a wasteful number, since it uses less digits than its factorization.

129631786557168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962 (or 12923 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 75.

The spelling of 129631786557168 in words is "one hundred twenty-nine trillion, six hundred thirty-one billion, seven hundred eighty-six million, five hundred fifty-seven thousand, one hundred sixty-eight".