171170857984 has 99 divisors (see below), whose sum is σ = 398255413503. Its totient is φ = 73319221248.

The previous prime is 171170857981. The next prime is 171170857987. The reversal of 171170857984 is 489758071171.

The square root of 171170857984 is 413728.

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

It is an interprime number because it is at equal distance from previous prime (171170857981) and next prime (171170857987).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171170857981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92674149 + ... + 92675995.

Almost surely, 2^171170857984 is an apocalyptic number.

171170857984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

171170857984 is the 413728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171170857984

171170857984 is an abundant number, since it is smaller than the sum of its proper divisors (227084555519).

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

171170857984 is an frugal number, since it uses more digits than its factorization.

171170857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 58.

The spelling of 171170857984 in words is "one hundred seventy-one billion, one hundred seventy million, eight hundred fifty-seven thousand, nine hundred eighty-four".