129895114752 has 960 divisors, whose sum is σ = 452842790400. Its totient is φ = 36787322880.

The previous prime is 129895114747. The next prime is 129895114759. The reversal of 129895114752 is 257411598921.

129895114752 is a `hidden beast` number, since 1 + 2 + 9 + 89 + 511 + 47 + 5 + 2 = 666.

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 (129895114759) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1938733023 + ... + 1938733089.

It is an arithmetic number, because the mean of its divisors is an integer number (471711240).

Almost surely, 2^129895114752 is an apocalyptic number.

129895114752 is a gapful number since it is divisible by the number (12) 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 129895114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226421395200).

129895114752 is an abundant number, since it is smaller than the sum of its proper divisors (322947675648).

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

129895114752 is a wasteful number, since it uses less digits than its factorization.

129895114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 129895114752 in words is "one hundred twenty-nine billion, eight hundred ninety-five million, one hundred fourteen thousand, seven hundred fifty-two".