32883283356 has 768 divisors, whose sum is σ = 112963092480. Its totient is φ = 7185024000.

The previous prime is 32883283343. The next prime is 32883283397. The reversal of 32883283356 is 65338238823.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32883283299 and 32883283308.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 463144801 + ... + 463144871.

It is an arithmetic number, because the mean of its divisors is an integer number (147087360).

Almost surely, 2^32883283356 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 32883283356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56481546240).

32883283356 is an abundant number, since it is smaller than the sum of its proper divisors (80079809124).

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

32883283356 is a wasteful number, since it uses less digits than its factorization.

32883283356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 32883283356 in words is "thirty-two billion, eight hundred eighty-three million, two hundred eighty-three thousand, three hundred fifty-six".