129204766036416 has 448 divisors, whose sum is σ = 400716999936000. Its totient is φ = 35977939206144.

The previous prime is 129204766036331. The next prime is 129204766036439. The reversal of 129204766036416 is 614630667402921.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 16254212410 + ... + 16254220358.

Almost surely, 2^{129204766036416} is an apocalyptic number.

129204766036416 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 129204766036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200358499968000).

129204766036416 is an abundant number, since it is smaller than the sum of its proper divisors (271512233899584).

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

129204766036416 is a wasteful number, since it uses less digits than its factorization.

129204766036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 129204766036416 in words is "one hundred twenty-nine trillion, two hundred four billion, seven hundred sixty-six million, thirty-six thousand, four hundred sixteen".