129376832352768 has 5120 divisors, whose sum is σ = 570583640309760. Its totient is φ = 27824593305600.

The previous prime is 129376832352749. The next prime is 129376832352797. The reversal of 129376832352768 is 867253238673921.

129376832352768 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 7 + 6 + 8 + 32 + 3 + 527 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 129376832352696 and 129376832352705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 824056256946 + ... + 824056257102.

It is an arithmetic number, because the mean of its divisors is an integer number (111442117248).

Almost surely, 2^{129376832352768} is an apocalyptic number.

129376832352768 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 129376832352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285291820154880).

129376832352768 is an abundant number, since it is smaller than the sum of its proper divisors (441206807956992).

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

129376832352768 is a wasteful number, since it uses less digits than its factorization.

129376832352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 129376832352768 in words is "one hundred twenty-nine trillion, three hundred seventy-six billion, eight hundred thirty-two million, three hundred fifty-two thousand, seven hundred sixty-eight".