32132300383296 has 567 divisors, whose sum is σ = 100691872502949. Its totient is φ = 9795230208000.

The previous prime is 32132300383241. The next prime is 32132300383367. The reversal of 32132300383296 is 69238300323123.

It is a happy number.

The square root of 32132300383296 is 5668536.

It is a perfect power (a square), and thus also a powerful number.

32132300383296 is a `hidden beast` number, since 3 + 2 + 1 + 323 + 0 + 0 + 38 + 3 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31812577989696 + 319722393600 = 5640264^2 + 565440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80130424696 + ... + 80130425096.

Almost surely, 2^{32132300383296} is an apocalyptic number.

32132300383296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32132300383296 is the 5668536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32132300383296

32132300383296 is an abundant number, since it is smaller than the sum of its proper divisors (68559572119653).

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

32132300383296 is an equidigital number, since it uses as much as digits as its factorization.

32132300383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 32132300383296 in words is "thirty-two trillion, one hundred thirty-two billion, three hundred million, three hundred eighty-three thousand, two hundred ninety-six".