129047319648 has 288 divisors, whose sum is σ = 416642335200. Its totient is φ = 37559697408.

The previous prime is 129047319623. The next prime is 129047319649. The reversal of 129047319648 is 846913740921.

129047319648 is a `hidden beast` number, since 12 + 90 + 473 + 19 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 129047319594 and 129047319603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129047319649) by changing a digit.

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, 76043536 + ... + 76045232.

It is an arithmetic number, because the mean of its divisors is an integer number (1446674775).

Almost surely, 2^129047319648 is an apocalyptic number.

129047319648 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 129047319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208321167600).

129047319648 is an abundant number, since it is smaller than the sum of its proper divisors (287595015552).

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

129047319648 is a wasteful number, since it uses less digits than its factorization.

129047319648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 129047319648 in words is "one hundred twenty-nine billion, forty-seven million, three hundred nineteen thousand, six hundred forty-eight".