333081216 has 192 divisors, whose sum is σ = 1078197120. Its totient is φ = 97929216.

The previous prime is 333081181. The next prime is 333081227. The reversal of 333081216 is 612180333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×333081216² = 221886192904077312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333081216.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 343965 + ... + 344931.

It is an arithmetic number, because the mean of its divisors is an integer number (5615610).

Almost surely, 2^333081216 is an apocalyptic number.

333081216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539098560).

333081216 is an abundant number, since it is smaller than the sum of its proper divisors (745115904).

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

333081216 is a wasteful number, since it uses less digits than its factorization.

333081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 333081216 is about 18250.5127599199. The cubic root of 333081216 is about 693.1864218644.

The spelling of 333081216 in words is "three hundred thirty-three million, eighty-one thousand, two hundred sixteen".