129686413824 has 960 divisors, whose sum is σ = 453500974080. Its totient is φ = 36495360000.

The previous prime is 129686413771. The next prime is 129686413853. The reversal of 129686413824 is 428314686921.

129686413824 is a `hidden beast` number, since 129 + 6 + 86 + 413 + 8 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 2126006754 + ... + 2126006814.

It is an arithmetic number, because the mean of its divisors is an integer number (472396848).

Almost surely, 2^129686413824 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 129686413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226750487040).

129686413824 is an abundant number, since it is smaller than the sum of its proper divisors (323814560256).

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

129686413824 is a wasteful number, since it uses less digits than its factorization.

129686413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 129686413824 in words is "one hundred twenty-nine billion, six hundred eighty-six million, four hundred thirteen thousand, eight hundred twenty-four".