32145955296 has 576 divisors, whose sum is σ = 113096390400. Its totient is φ = 7900913664.

The previous prime is 32145955229. The next prime is 32145955319. The reversal of 32145955296 is 69255954123.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 84817635 + ... + 84818013.

It is an arithmetic number, because the mean of its divisors is an integer number (196347900).

Almost surely, 2^32145955296 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 32145955296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548195200).

32145955296 is an abundant number, since it is smaller than the sum of its proper divisors (80950435104).

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

32145955296 is a wasteful number, since it uses less digits than its factorization.

32145955296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 51.

The spelling of 32145955296 in words is "thirty-two billion, one hundred forty-five million, nine hundred fifty-five thousand, two hundred ninety-six".