129294071672832 has 936 divisors, whose sum is σ = 434542196638992. Its totient is φ = 38117877350400.

The previous prime is 129294071672761. The next prime is 129294071672861. The reversal of 129294071672832 is 238276170492921.

129294071672832 is a `hidden beast` number, since 1 + 2 + 9 + 294 + 0 + 7 + 1 + 67 + 283 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129294071672832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10937653482 + ... + 10937665302.

Almost surely, 2^{129294071672832} is an apocalyptic number.

129294071672832 is a gapful number since it is divisible by the number (12) 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 129294071672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217271098319496).

129294071672832 is an abundant number, since it is smaller than the sum of its proper divisors (305248124966160).

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

129294071672832 is an frugal number, since it uses more digits than its factorization.

129294071672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 129294071672832 in words is "one hundred twenty-nine trillion, two hundred ninety-four billion, seventy-one million, six hundred seventy-two thousand, eight hundred thirty-two".