171343889957664 has 480 divisors, whose sum is σ = 543003877785600. Its totient is φ = 52839105062400.

The previous prime is 171343889957641. The next prime is 171343889957717. The reversal of 171343889957664 is 466759988343171.

171343889957664 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 4 + 38 + 8 + 9 + 9 + 576 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438555169 + ... + 438945695.

It is an arithmetic number, because the mean of its divisors is an integer number (1131258078720).

Almost surely, 2^{171343889957664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171343889957664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271501938892800).

171343889957664 is an abundant number, since it is smaller than the sum of its proper divisors (371659987827936).

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

171343889957664 is a wasteful number, since it uses less digits than its factorization.

171343889957664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390778 (or 390761 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 171343889957664 in words is "one hundred seventy-one trillion, three hundred forty-three billion, eight hundred eighty-nine million, nine hundred fifty-seven thousand, six hundred sixty-four".