216845952 has 32 divisors (see below), whose sum is σ = 575998080. Its totient is φ = 72281856.

The previous prime is 216845903. The next prime is 216845953. The reversal of 216845952 is 259548612.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (216845953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281968 + ... + 282735.

It is an arithmetic number, because the mean of its divisors is an integer number (17999940).

Almost surely, 2^216845952 is an apocalyptic number.

It is an amenable number.

216845952 is an abundant number, since it is smaller than the sum of its proper divisors (359152128).

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

216845952 is an equidigital number, since it uses as much as digits as its factorization.

216845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564720 (or 564708 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 216845952 is about 14725.6902045371. The cubic root of 216845952 is about 600.7822685389.

The spelling of 216845952 in words is "two hundred sixteen million, eight hundred forty-five thousand, nine hundred fifty-two".