288378666081 has 27 divisors (see below), whose sum is σ = 457885542387. Its totient is φ = 174764208960.

The previous prime is 288378666067. The next prime is 288378666091. The reversal of 288378666081 is 180666873882.

The square root of 288378666081 is 537009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 278261525025 + 10117141056 = 527505^2 + 100584^2 .

It is a de Polignac number, because none of the positive numbers 2^k-288378666081 is a prime.

It is a super-2 number, since 2×288378666081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288378666001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17713161 + ... + 17729433.

Almost surely, 2^288378666081 is an apocalyptic number.

288378666081 is the 537009-th square number.

288378666081 is the 268505-th centered octagonal number.

It is an amenable number.

288378666081 is a deficient number, since it is larger than the sum of its proper divisors (169506876306).

288378666081 is an frugal number, since it uses more digits than its factorization.

288378666081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32574 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

It can be divided in two parts, 288378 and 666081, that added together give a palindrome (954459).

The spelling of 288378666081 in words is "two hundred eighty-eight billion, three hundred seventy-eight million, six hundred sixty-six thousand, eighty-one".