216298944 has 224 divisors, whose sum is σ = 675924480. Its totient is φ = 67737600.

The previous prime is 216298933. The next prime is 216298949. The reversal of 216298944 is 449892612.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216298944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216298949) 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 31 ways as a sum of consecutive naturals, for example, 3046429 + ... + 3046499.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2^216298944 is an apocalyptic number.

216298944 is a gapful number since it is divisible by the number (24) 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 216298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337962240).

216298944 is an abundant number, since it is smaller than the sum of its proper divisors (459625536).

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

216298944 is a wasteful number, since it uses less digits than its factorization.

216298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 216298944 is about 14707.1052216267. The cubic root of 216298944 is about 600.2766724010.

The spelling of 216298944 in words is "two hundred sixteen million, two hundred ninety-eight thousand, nine hundred forty-four".