32171243680900 has 81 divisors (see below), whose sum is σ = 70615892735661. Its totient is φ = 12721911079680.

The previous prime is 32171243680897. The next prime is 32171243680921. The reversal of 32171243680900 is 908634217123.

The square root of 32171243680900 is 5671970.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19830580547716 + 12340663133184 = 4453154^2 + 3512928^2 .

It is a Duffinian number.

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, 5048050114 + ... + 5048056486.

Almost surely, 2^{32171243680900} is an apocalyptic number.

32171243680900 is the 5671970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32171243680900

32171243680900 is an abundant number, since it is smaller than the sum of its proper divisors (38444649054761).

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

32171243680900 is an frugal number, since it uses more digits than its factorization.

32171243680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12938 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 32171243680900 in words is "thirty-two trillion, one hundred seventy-one billion, two hundred forty-three million, six hundred eighty thousand, nine hundred".