129117705948 has 144 divisors (see below), whose sum is σ = 407093266944. Its totient is φ = 33522491520.

The previous prime is 129117705931. The next prime is 129117705953. The reversal of 129117705948 is 849507711921.

It is a junction number, because it is equal to n+sod(n) for n = 129117705894 and 129117705903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7328686 + ... + 7346282.

It is an arithmetic number, because the mean of its divisors is an integer number (2827036576).

Almost surely, 2^129117705948 is an apocalyptic number.

129117705948 is a gapful number since it is divisible by the number (18) 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 129117705948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203546633472).

129117705948 is an abundant number, since it is smaller than the sum of its proper divisors (277975560996).

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

129117705948 is a wasteful number, since it uses less digits than its factorization.

129117705948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20272 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 129117705948 in words is "one hundred twenty-nine billion, one hundred seventeen million, seven hundred five thousand, nine hundred forty-eight".