129223074816 has 792 divisors, whose sum is σ = 448103365920. Its totient is φ = 36750827520.

The previous prime is 129223074809. The next prime is 129223074817. The reversal of 129223074816 is 618470322921.

129223074816 is a `hidden beast` number, since 1 + 292 + 2 + 307 + 48 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (129223074817) 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, 1207692235 + ... + 1207692341.

Almost surely, 2^129223074816 is an apocalyptic number.

129223074816 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 129223074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224051682960).

129223074816 is an abundant number, since it is smaller than the sum of its proper divisors (318880291104).

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

129223074816 is a wasteful number, since it uses less digits than its factorization.

129223074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 129223074816 in words is "one hundred twenty-nine billion, two hundred twenty-three million, seventy-four thousand, eight hundred sixteen".