129831403972608 has 2688 divisors, whose sum is σ = 468248251161600. Its totient is φ = 35602484428800.

The previous prime is 129831403972597. The next prime is 129831403972723. The reversal of 129831403972608 is 806279304138921.

129831403972608 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 3 + 14 + 0 + 3 + 9 + 7 + 2 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 468705429366 + ... + 468705429642.

It is an arithmetic number, because the mean of its divisors is an integer number (174199498200).

Almost surely, 2^{129831403972608} is an apocalyptic number.

129831403972608 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 129831403972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234124125580800).

129831403972608 is an abundant number, since it is smaller than the sum of its proper divisors (338416847188992).

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

129831403972608 is a wasteful number, since it uses less digits than its factorization.

129831403972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 129831403972608 in words is "one hundred twenty-nine trillion, eight hundred thirty-one billion, four hundred three million, nine hundred seventy-two thousand, six hundred eight".