171731600016 has 80 divisors (see below), whose sum is σ = 467058767040. Its totient is φ = 54222981120.

The previous prime is 171731599993. The next prime is 171731600017. The reversal of 171731600016 is 610006137171.

171731600016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×171731600016² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 171731600016.

It is not an unprimeable number, because it can be changed into a prime (171731600017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10316436 + ... + 10333068.

It is an arithmetic number, because the mean of its divisors is an integer number (5838234588).

Almost surely, 2^171731600016 is an apocalyptic number.

171731600016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

171731600016 is an abundant number, since it is smaller than the sum of its proper divisors (295327167024).

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

171731600016 is a wasteful number, since it uses less digits than its factorization.

171731600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27984 (or 27978 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

Adding to 171731600016 its reverse (610006137171), we get a palindrome (781737737187).

The spelling of 171731600016 in words is "one hundred seventy-one billion, seven hundred thirty-one million, six hundred thousand, sixteen".