171309898816 has 189 divisors, whose sum is σ = 418427888949. Its totient is φ = 69375591936.

The previous prime is 171309898789. The next prime is 171309898831. The reversal of 171309898816 is 618898903171.

The square root of 171309898816 is 413896.

It is a perfect power (a square), and thus also a powerful number.

171309898816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40439601216 + 130870297600 = 201096^2 + 361760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440385150 + ... + 440385538.

Almost surely, 2^171309898816 is an apocalyptic number.

171309898816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

171309898816 is the 413896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171309898816

171309898816 is an abundant number, since it is smaller than the sum of its proper divisors (247117990133).

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

171309898816 is an frugal number, since it uses more digits than its factorization.

171309898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 171309898816 in words is "one hundred seventy-one billion, three hundred nine million, eight hundred ninety-eight thousand, eight hundred sixteen".