32318883900900 has 729 divisors, whose sum is σ = 109847834800977. Its totient is φ = 7946223667200.

The previous prime is 32318883900889. The next prime is 32318883900931. The reversal of 32318883900900 is 900938881323.

It is a happy number.

The square root of 32318883900900 is 5684970.

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 18085950606564 + 14232933294336 = 4252758^2 + 3772656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 205852763622 + ... + 205852763778.

Almost surely, 2^{32318883900900} is an apocalyptic number.

32318883900900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32318883900900 is the 5684970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32318883900900

32318883900900 is an abundant number, since it is smaller than the sum of its proper divisors (77528950900077).

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

32318883900900 is a wasteful number, since it uses less digits than its factorization.

32318883900900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 32318883900900 in words is "thirty-two trillion, three hundred eighteen billion, eight hundred eighty-three million, nine hundred thousand, nine hundred".