129688290785664 has 768 divisors, whose sum is σ = 433879998552000. Its totient is φ = 36827836710912.

The previous prime is 129688290785653. The next prime is 129688290785671. The reversal of 129688290785664 is 466587092886921.

129688290785664 is a `hidden beast` number, since 1 + 29 + 6 + 8 + 8 + 29 + 0 + 7 + 8 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2691777127 + ... + 2691825305.

Almost surely, 2^{129688290785664} 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 129688290785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216939999276000).

129688290785664 is an abundant number, since it is smaller than the sum of its proper divisors (304191707766336).

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

129688290785664 is a wasteful number, since it uses less digits than its factorization.

129688290785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48435 (or 48420 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 129688290785664 in words is "one hundred twenty-nine trillion, six hundred eighty-eight billion, two hundred ninety million, seven hundred eighty-five thousand, six hundred sixty-four".