32305389168 has 160 divisors (see below), whose sum is σ = 93202923520. Its totient is φ = 9575055360.

The previous prime is 32305389167. The next prime is 32305389191. The reversal of 32305389168 is 86198350323.

It is a happy number.

It is a Cunningham number, because it is equal to 179737²-1.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32305389163) 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 31 ways as a sum of consecutive naturals, for example, 4309968 + ... + 4317456.

It is an arithmetic number, because the mean of its divisors is an integer number (582518272).

Almost surely, 2^32305389168 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 32305389168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46601461760).

32305389168 is an abundant number, since it is smaller than the sum of its proper divisors (60897534352).

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

32305389168 is a wasteful number, since it uses less digits than its factorization.

32305389168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 32305389168 in words is "thirty-two billion, three hundred five million, three hundred eighty-nine thousand, one hundred sixty-eight".