129864646656 has 480 divisors, whose sum is σ = 407673907200. Its totient is φ = 40792227840.

The previous prime is 129864646643. The next prime is 129864646759. The reversal of 129864646656 is 656646468921.

129864646656 is a `hidden beast` number, since 1 + 2 + 9 + 86 + 46 + 466 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129864646593 and 129864646602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679919521 + ... + 679919711.

It is an arithmetic number, because the mean of its divisors is an integer number (849320640).

Almost surely, 2^129864646656 is an apocalyptic number.

129864646656 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 129864646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203836953600).

129864646656 is an abundant number, since it is smaller than the sum of its proper divisors (277809260544).

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

129864646656 is an equidigital number, since it uses as much as digits as its factorization.

129864646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 278 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 129864646656 in words is "one hundred twenty-nine billion, eight hundred sixty-four million, six hundred forty-six thousand, six hundred fifty-six".