129019359168 has 224 divisors, whose sum is σ = 433749419520. Its totient is φ = 36839577600.

The previous prime is 129019359163. The next prime is 129019359179. The reversal of 129019359168 is 861953910921.

129019359168 is a `hidden beast` number, since 1 + 290 + 193 + 5 + 9 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129019359163) 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 31 ways as a sum of consecutive naturals, for example, 31846743 + ... + 31850793.

Almost surely, 2^129019359168 is an apocalyptic number.

129019359168 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 129019359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216874709760).

129019359168 is an abundant number, since it is smaller than the sum of its proper divisors (304730060352).

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

129019359168 is a wasteful number, since it uses less digits than its factorization.

129019359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 129019359168 in words is "one hundred twenty-nine billion, nineteen million, three hundred fifty-nine thousand, one hundred sixty-eight".