288118144 has 16 divisors (see below), whose sum is σ = 573985620. Its totient is φ = 144059008.

The previous prime is 288118141. The next prime is 288118163. The reversal of 288118144 is 441811882.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288118141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125334 + ... + 1125589.

Almost surely, 2^288118144 is an apocalyptic number.

It is an amenable number.

288118144 is a deficient number, since it is larger than the sum of its proper divisors (285867476).

288118144 is an equidigital number, since it uses as much as digits as its factorization.

288118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250937 (or 2250925 counting only the distinct ones).

The product of its digits is 16384, while the sum is 37.

The square root of 288118144 is about 16974.0432425513. The cubic root of 288118144 is about 660.4757390294.

It can be divided in two parts, 2881 and 18144, that added together give a square (21025 = 145²).

The spelling of 288118144 in words is "two hundred eighty-eight million, one hundred eighteen thousand, one hundred forty-four".