171564953616 has 135 divisors (see below), whose sum is σ = 558647667903. Its totient is φ = 49008617280.

The previous prime is 171564953597. The next prime is 171564953621. The reversal of 171564953616 is 616359465171.

The square root of 171564953616 is 414204.

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

171564953616 is a `hidden beast` number, since 1 + 7 + 1 + 56 + 49 + 536 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34790671 + ... + 34795601.

Almost surely, 2^171564953616 is an apocalyptic number.

171564953616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

171564953616 is the 414204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171564953616

171564953616 is an abundant number, since it is smaller than the sum of its proper divisors (387082714287).

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

171564953616 is an frugal number, since it uses more digits than its factorization.

171564953616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 4943 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 171564953616 in words is "one hundred seventy-one billion, five hundred sixty-four million, nine hundred fifty-three thousand, six hundred sixteen".