32165271648 has 144 divisors (see below), whose sum is σ = 95103590400. Its totient is φ = 10300849920.

The previous prime is 32165271641. The next prime is 32165271667. The reversal of 32165271648 is 84617256123.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32165271641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228033 + ... + 1253951.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 2^32165271648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32165271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551795200).

32165271648 is an abundant number, since it is smaller than the sum of its proper divisors (62938318752).

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

32165271648 is a wasteful number, since it uses less digits than its factorization.

32165271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26105 (or 26094 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 32165271648 in words is "thirty-two billion, one hundred sixty-five million, two hundred seventy-one thousand, six hundred forty-eight".