129683260224 has 672 divisors, whose sum is σ = 472901345280. Its totient is φ = 34392563712.

The previous prime is 129683260183. The next prime is 129683260247. The reversal of 129683260224 is 422062386921.

129683260224 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 8 + 32 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 129683260224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146203909 + ... + 146204795.

It is an arithmetic number, because the mean of its divisors is an integer number (703722240).

Almost surely, 2^129683260224 is an apocalyptic number.

129683260224 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 129683260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236450672640).

129683260224 is an abundant number, since it is smaller than the sum of its proper divisors (343218085056).

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

129683260224 is an equidigital number, since it uses as much as digits as its factorization.

129683260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 129683260224 in words is "one hundred twenty-nine billion, six hundred eighty-three million, two hundred sixty thousand, two hundred twenty-four".