129366188064 has 144 divisors (see below), whose sum is σ = 369533350368. Its totient is φ = 42929381376.

The previous prime is 129366188023. The next prime is 129366188179. The reversal of 129366188064 is 460881663921.

129366188064 is a `hidden beast` number, since 12 + 9 + 3 + 6 + 618 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×129366188064² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129366188064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77603359 + ... + 77605025.

It is an arithmetic number, because the mean of its divisors is an integer number (2566203822).

Almost surely, 2^129366188064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129366188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184766675184).

129366188064 is an abundant number, since it is smaller than the sum of its proper divisors (240167162304).

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

129366188064 is a wasteful number, since it uses less digits than its factorization.

129366188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 129366188064 in words is "one hundred twenty-nine billion, three hundred sixty-six million, one hundred eighty-eight thousand, sixty-four".