129428678016 has 576 divisors, whose sum is σ = 437247916560. Its totient is φ = 36592680960.

The previous prime is 129428678011. The next prime is 129428678047. The reversal of 129428678016 is 610876824921.

It is a happy number.

129428678016 is a `hidden beast` number, since 1 + 294 + 286 + 78 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129428678011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457345011 + ... + 457345293.

Almost surely, 2^129428678016 is an apocalyptic number.

129428678016 is a gapful number since it is divisible by the number (16) 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 129428678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218623958280).

129428678016 is an abundant number, since it is smaller than the sum of its proper divisors (307819238544).

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

129428678016 is a wasteful number, since it uses less digits than its factorization.

129428678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 129428678016 in words is "one hundred twenty-nine billion, four hundred twenty-eight million, six hundred seventy-eight thousand, sixteen".