129416056128 has 560 divisors, whose sum is σ = 423733837824. Its totient is φ = 38877511680.

The previous prime is 129416056069. The next prime is 129416056141. The reversal of 129416056128 is 821650614921.

129416056128 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 1 + 60 + 561 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 346959750 + ... + 346960122.

Almost surely, 2^129416056128 is an apocalyptic number.

129416056128 is a gapful number since it is divisible by the number (18) 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 129416056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211866918912).

129416056128 is an abundant number, since it is smaller than the sum of its proper divisors (294317781696).

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

129416056128 is a wasteful number, since it uses less digits than its factorization.

129416056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 129416056128 in words is "one hundred twenty-nine billion, four hundred sixteen million, fifty-six thousand, one hundred twenty-eight".