129126364045056 has 864 divisors, whose sum is σ = 452258331033600. Its totient is φ = 34611778068480.

The previous prime is 129126364045027. The next prime is 129126364045111. The reversal of 129126364045056 is 650540463621921.

129126364045056 is a `hidden beast` number, since 1 + 2 + 9 + 12 + 63 + 64 + 0 + 4 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129126364044993 and 129126364045011.

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, 13285967365 + ... + 13285977083.

It is an arithmetic number, because the mean of its divisors is an integer number (523447142400).

Almost surely, 2^{129126364045056} is an apocalyptic number.

129126364045056 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 129126364045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226129165516800).

129126364045056 is an abundant number, since it is smaller than the sum of its proper divisors (323131966988544).

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

129126364045056 is a wasteful number, since it uses less digits than its factorization.

129126364045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 129126364045056 in words is "one hundred twenty-nine trillion, one hundred twenty-six billion, three hundred sixty-four million, forty-five thousand, fifty-six".