216424814304 has 24 divisors (see below), whose sum is σ = 568115137800. Its totient is φ = 72141604736.

The previous prime is 216424814231. The next prime is 216424814317. The reversal of 216424814304 is 403418424612.

216424814304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1127212479 + ... + 1127212670.

It is an arithmetic number, because the mean of its divisors is an integer number (23671464075).

Almost surely, 2^216424814304 is an apocalyptic number.

216424814304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216424814304 is an abundant number, since it is smaller than the sum of its proper divisors (351690323496).

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

216424814304 is a wasteful number, since it uses less digits than its factorization.

216424814304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254425162 (or 2254425154 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 216424814304 in words is "two hundred sixteen billion, four hundred twenty-four million, eight hundred fourteen thousand, three hundred four".