171545657712 has 320 divisors, whose sum is σ = 535045754880. Its totient is φ = 46664294400.

The previous prime is 171545657693. The next prime is 171545657729. The reversal of 171545657712 is 217756545171.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109473153 + ... + 109474719.

It is an arithmetic number, because the mean of its divisors is an integer number (1672017984).

Almost surely, 2^171545657712 is an apocalyptic number.

171545657712 is a gapful number since it is divisible by the number (12) 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 171545657712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267522877440).

171545657712 is an abundant number, since it is smaller than the sum of its proper divisors (363500097168).

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

171545657712 is a wasteful number, since it uses less digits than its factorization.

171545657712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its digits is 2058000, while the sum is 51.

The spelling of 171545657712 in words is "one hundred seventy-one billion, five hundred forty-five million, six hundred fifty-seven thousand, seven hundred twelve".