216166944 has 96 divisors (see below), whose sum is σ = 651442176. Its totient is φ = 61482240.

The previous prime is 216166939. The next prime is 216166961. The reversal of 216166944 is 449661612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 181519 + ... + 182705.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2^216166944 is an apocalyptic number.

216166944 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 216166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325721088).

216166944 is an abundant number, since it is smaller than the sum of its proper divisors (435275232).

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

216166944 is a wasteful number, since it uses less digits than its factorization.

216166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 216166944 is about 14702.6169099246. The cubic root of 216166944 is about 600.1545379711.

The spelling of 216166944 in words is "two hundred sixteen million, one hundred sixty-six thousand, nine hundred forty-four".