32805603488 has 72 divisors (see below), whose sum is σ = 75221438292. Its totient is φ = 14042563584.

The previous prime is 32805603431. The next prime is 32805603527. The reversal of 32805603488 is 88430650823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32505205264 + 300398224 = 180292^2 + 17332^2 .

It is a super-2 number, since 2×32805603488² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1331570 + ... + 1355982.

Almost surely, 2^32805603488 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 32805603488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37610719146).

32805603488 is an abundant number, since it is smaller than the sum of its proper divisors (42415834804).

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

32805603488 is a wasteful number, since it uses less digits than its factorization.

32805603488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25294 (or 25279 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 32805603488 in words is "thirty-two billion, eight hundred five million, six hundred three thousand, four hundred eighty-eight".