288055477264 has 15 divisors (see below), whose sum is σ = 558111646717. Its totient is φ = 144026665216.

The previous prime is 288055477261. The next prime is 288055477319. The reversal of 288055477264 is 462774550882.

The square root of 288055477264 is 536708.

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., 273801027600 + 14254449664 = 523260^2 + 119392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288055477199 and 288055477208.

It is not an unprimeable number, because it can be changed into a prime (288055477261) 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 2 ways as a sum of consecutive naturals, for example, 2079744 + ... + 2213920.

Almost surely, 2^288055477264 is an apocalyptic number.

288055477264 is the 536708-th square number.

It is an amenable number.

288055477264 is a deficient number, since it is larger than the sum of its proper divisors (270056169453).

288055477264 is an frugal number, since it uses more digits than its factorization.

288055477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268362 (or 134179 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 58.

The spelling of 288055477264 in words is "two hundred eighty-eight billion, fifty-five million, four hundred seventy-seven thousand, two hundred sixty-four".