171393824394 has 128 divisors (see below), whose sum is σ = 417749633280. Its totient is φ = 51767983872.

The previous prime is 171393824369. The next prime is 171393824431. The reversal of 171393824394 is 493428393171.

171393824394 is a `hidden beast` number, since 1 + 7 + 1 + 393 + 8 + 243 + 9 + 4 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 171393824394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13774744 + ... + 13787180.

It is an arithmetic number, because the mean of its divisors is an integer number (3263669010).

Almost surely, 2^171393824394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171393824394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208874816640).

171393824394 is an abundant number, since it is smaller than the sum of its proper divisors (246355808886).

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

171393824394 is a wasteful number, since it uses less digits than its factorization.

171393824394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12815 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 171393824394 in words is "one hundred seventy-one billion, three hundred ninety-three million, eight hundred twenty-four thousand, three hundred ninety-four".