129681123264 has 504 divisors, whose sum is σ = 474299280000. Its totient is φ = 33498178560.

The previous prime is 129681123223. The next prime is 129681123281. The reversal of 129681123264 is 462321186921.

129681123264 is a `hidden beast` number, since 1 + 296 + 81 + 1 + 23 + 264 = 666.

129681123264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61781287 + ... + 61783385.

It is an arithmetic number, because the mean of its divisors is an integer number (941070000).

Almost surely, 2^129681123264 is an apocalyptic number.

129681123264 is a gapful number since it is divisible by the number (14) 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 129681123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640000).

129681123264 is an abundant number, since it is smaller than the sum of its proper divisors (344618156736).

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

129681123264 is a wasteful number, since it uses less digits than its factorization.

129681123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2321 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 129681123264 in words is "one hundred twenty-nine billion, six hundred eighty-one million, one hundred twenty-three thousand, two hundred sixty-four".