171642000000000 has 440 divisors, whose sum is σ = 571880566439424. Its totient is φ = 45769600000000.

The previous prime is 171641999999923. The next prime is 171642000000137. The reversal of 171642000000000 is 246171.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5999985697 + ... + 6000014303.

Almost surely, 2^{171642000000000} is an apocalyptic number.

171642000000000 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 171642000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285940283219712).

171642000000000 is an abundant number, since it is smaller than the sum of its proper divisors (400238566439424).

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

171642000000000 is an frugal number, since it uses more digits than its factorization.

171642000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28675 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 171642000000000 its reverse (246171), we get a palindrome (171642000246171).

The spelling of 171642000000000 in words is "one hundred seventy-one trillion, six hundred forty-two billion", and thus it is an aban number.