129177721764 has 432 divisors, whose sum is σ = 417233980800. Its totient is φ = 33395991552.

The previous prime is 129177721741. The next prime is 129177721819. The reversal of 129177721764 is 467127771921.

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

Its product of digits (2074464) is a multiple of the sum of its prime factors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 129177721764.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340838127 + ... + 340838505.

It is an arithmetic number, because the mean of its divisors is an integer number (965819400).

Almost surely, 2^129177721764 is an apocalyptic number.

129177721764 is a gapful number since it is divisible by the number (14) 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 129177721764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208616990400).

129177721764 is an abundant number, since it is smaller than the sum of its proper divisors (288056259036).

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

129177721764 is a wasteful number, since it uses less digits than its factorization.

129177721764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The spelling of 129177721764 in words is "one hundred twenty-nine billion, one hundred seventy-seven million, seven hundred twenty-one thousand, seven hundred sixty-four".