171043827406848 has 960 divisors, whose sum is σ = 563463341400960. Its totient is φ = 51264788889600.

The previous prime is 171043827406789. The next prime is 171043827406861. The reversal of 171043827406848 is 848604728340171.

171043827406848 is a `hidden beast` number, since 1 + 7 + 104 + 3 + 82 + 7 + 406 + 8 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84382745611 + ... + 84382747637.

It is an arithmetic number, because the mean of its divisors is an integer number (586940980626).

Almost surely, 2^{171043827406848} is an apocalyptic number.

171043827406848 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 171043827406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281731670700480).

171043827406848 is an abundant number, since it is smaller than the sum of its proper divisors (392419513994112).

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

171043827406848 is a wasteful number, since it uses less digits than its factorization.

171043827406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 171043827406848 in words is "one hundred seventy-one trillion, forty-three billion, eight hundred twenty-seven million, four hundred six thousand, eight hundred forty-eight".