171343021344768 has 2304 divisors, whose sum is σ = 657821907025920. Its totient is φ = 43387303034880.

The previous prime is 171343021344763. The next prime is 171343021344851. The reversal of 171343021344768 is 867443120343171.

It is a happy number.

171343021344768 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 4 + 30 + 2 + 134 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (171343021344763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1349157648321 + ... + 1349157648447.

It is an arithmetic number, because the mean of its divisors is an integer number (285512980480).

Almost surely, 2^{171343021344768} is an apocalyptic number.

171343021344768 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 171343021344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328910953512960).

171343021344768 is an abundant number, since it is smaller than the sum of its proper divisors (486478885681152).

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

171343021344768 is an frugal number, since it uses more digits than its factorization.

171343021344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 171343021344768 in words is "one hundred seventy-one trillion, three hundred forty-three billion, twenty-one million, three hundred forty-four thousand, seven hundred sixty-eight".