129172949710848 has 336 divisors, whose sum is σ = 387588691526400. Its totient is φ = 43019668684800.

The previous prime is 129172949710817. The next prime is 129172949710907. The reversal of 129172949710848 is 848017949271921.

129172949710848 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 7 + 29 + 497 + 108 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1718396208 + ... + 1718471376.

It is an arithmetic number, because the mean of its divisors is an integer number (1153537772400).

Almost surely, 2^{129172949710848} is an apocalyptic number.

129172949710848 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 129172949710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193794345763200).

129172949710848 is an abundant number, since it is smaller than the sum of its proper divisors (258415741815552).

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

129172949710848 is an frugal number, since it uses more digits than its factorization.

129172949710848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76360 (or 76325 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 129172949710848 in words is "one hundred twenty-nine trillion, one hundred seventy-two billion, nine hundred forty-nine million, seven hundred ten thousand, eight hundred forty-eight".