4532217463332 has 864 divisors, whose sum is σ = 13839553728000. Its totient is φ = 1241645303808.

The previous prime is 4532217463327. The next prime is 4532217463337. The reversal of 4532217463332 is 2333647122354.

4532217463332 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 2 + 1 + 7 + 4 + 633 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4532217463327) and next prime (4532217463337).

It is not an unprimeable number, because it can be changed into a prime (4532217463337) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 30417566794 + ... + 30417566942.

It is an arithmetic number, because the mean of its divisors is an integer number (16018002000).

Almost surely, 2^{4532217463332} 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 4532217463332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919776864000).

4532217463332 is an abundant number, since it is smaller than the sum of its proper divisors (9307336264668).

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

4532217463332 is a wasteful number, since it uses less digits than its factorization.

4532217463332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The spelling of 4532217463332 in words is "four trillion, five hundred thirty-two billion, two hundred seventeen million, four hundred sixty-three thousand, three hundred thirty-two".