171114048 has 252 divisors, whose sum is σ = 594676992. Its totient is φ = 46033920.

The previous prime is 171114023. The next prime is 171114049. The reversal of 171114048 is 840411171.

171114048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (171114049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4624686 + ... + 4624722.

Almost surely, 2^171114048 is an apocalyptic number.

171114048 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 171114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297338496).

171114048 is an abundant number, since it is smaller than the sum of its proper divisors (423562944).

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

171114048 is a wasteful number, since it uses less digits than its factorization.

171114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 171114048 is about 13081.0568380387. The cubic root of 171114048 is about 555.1732792274.

The spelling of 171114048 in words is "one hundred seventy-one million, one hundred fourteen thousand, forty-eight".