171393368256 has 224 divisors, whose sum is σ = 550642901760. Its totient is φ = 51845529600.

The previous prime is 171393368233. The next prime is 171393368273. The reversal of 171393368256 is 652863393171.

171393368256 is a `hidden beast` number, since 17 + 13 + 9 + 3 + 368 + 256 = 666.

171393368256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 11150016 + ... + 11165376.

It is an arithmetic number, because the mean of its divisors is an integer number (2458227240).

Almost surely, 2^171393368256 is an apocalyptic number.

171393368256 is a gapful number since it is divisible by the number (16) 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 171393368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275321450880).

171393368256 is an abundant number, since it is smaller than the sum of its proper divisors (379249533504).

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

171393368256 is a wasteful number, since it uses less digits than its factorization.

171393368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15980 (or 15964 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 171393368256 in words is "one hundred seventy-one billion, three hundred ninety-three million, three hundred sixty-eight thousand, two hundred fifty-six".