216288144 has 100 divisors (see below), whose sum is σ = 662891724. Its totient is φ = 67848192.

The previous prime is 216288131. The next prime is 216288157. The reversal of 216288144 is 441882612.

216288144 is a `hidden beast` number, since 21 + 628 + 8 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (216288131) and next prime (216288157).

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 17139600 = 14112^2 + 4140^2 .

It is a super-2 number, since 2×216288144² = 93561122469929472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 216288099 and 216288108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17124 + ... + 26940.

Almost surely, 2^216288144 is an apocalyptic number.

216288144 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 216288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331445862).

216288144 is an abundant number, since it is smaller than the sum of its proper divisors (446603580).

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

216288144 is a wasteful number, since it uses less digits than its factorization.

216288144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854 (or 9839 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 216288144 is about 14706.7380475753. The cubic root of 216288144 is about 600.2666814508.

The spelling of 216288144 in words is "two hundred sixteen million, two hundred eighty-eight thousand, one hundred forty-four".