129641395718034 has 128 divisors (see below), whose sum is σ = 306321871564800. Its totient is φ = 40500776736000.

The previous prime is 129641395718011. The next prime is 129641395718047. The reversal of 129641395718034 is 430817593146921.

129641395718034 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 413 + 9 + 5 + 7 + 180 + 34 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078065699 + ... + 1078185945.

It is an arithmetic number, because the mean of its divisors is an integer number (2393139621600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅129641395718034 = 259282791436068, but 3⋅129641395718034 = 388924187154102 is not.

Almost surely, 2^{129641395718034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129641395718034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153160935782400).

129641395718034 is an abundant number, since it is smaller than the sum of its proper divisors (176680475846766).

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

129641395718034 is a wasteful number, since it uses less digits than its factorization.

129641395718034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125205 (or 125199 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 129641395718034 in words is "one hundred twenty-nine trillion, six hundred forty-one billion, three hundred ninety-five million, seven hundred eighteen thousand, thirty-four".