216446048 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 84994560.

The previous prime is 216446039. The next prime is 216446051. The reversal of 216446048 is 840644612.

216446048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216445999 and 216446017.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 695813 + ... + 696123.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^216446048 is an apocalyptic number.

216446048 is a gapful number since it is divisible by the number (28) 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 216446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

216446048 is an abundant number, since it is smaller than the sum of its proper divisors (311907232).

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

216446048 is a wasteful number, since it uses less digits than its factorization.

216446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 216446048 is about 14712.1054917371. The cubic root of 216446048 is about 600.4127234412.

It can be divided in two parts, 21644604 and 8, that added together give a palindrome (21644612).

The spelling of 216446048 in words is "two hundred sixteen million, four hundred forty-six thousand, forty-eight".