171171348716160 has 640 divisors, whose sum is σ = 658766828966400. Its totient is φ = 42104966897664.

The previous prime is 171171348716119. The next prime is 171171348716161. The reversal of 171171348716160 is 61617843171171.

171171348716160 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 7 + 13 + 4 + 8 + 7 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 171171348716097 and 171171348716106.

It is not an unprimeable number, because it can be changed into a prime (171171348716161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 969682627 + ... + 969859133.

It is an arithmetic number, because the mean of its divisors is an integer number (1029323170260).

Almost surely, 2^{171171348716160} is an apocalyptic number.

171171348716160 is a gapful number since it is divisible by the number (10) 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 171171348716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329383414483200).

171171348716160 is an abundant number, since it is smaller than the sum of its proper divisors (487595480250240).

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

171171348716160 is a wasteful number, since it uses less digits than its factorization.

171171348716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177990 (or 177969 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 171171348716160 in words is "one hundred seventy-one trillion, one hundred seventy-one billion, three hundred forty-eight million, seven hundred sixteen thousand, one hundred sixty".