216311424 has 64 divisors (see below), whose sum is σ = 656667840. Its totient is φ = 61802496.

The previous prime is 216311411. The next prime is 216311441. The reversal of 216311424 is 424113612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216311394 and 216311403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37549 + ... + 42924.

It is an arithmetic number, because the mean of its divisors is an integer number (10260435).

Almost surely, 2^216311424 is an apocalyptic number.

216311424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216311424 is an abundant number, since it is smaller than the sum of its proper divisors (440356416).

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

216311424 is an equidigital number, since it uses as much as digits as its factorization.

216311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80497 (or 80485 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 216311424 is about 14707.5295002254. The cubic root of 216311424 is about 600.2882170849.

The spelling of 216311424 in words is "two hundred sixteen million, three hundred eleven thousand, four hundred twenty-four".