288479632609 has 15 divisors (see below), whose sum is σ = 336794211717. Its totient is φ = 246375591336.

The previous prime is 288479632589. The next prime is 288479632619. The reversal of 288479632609 is 906236974882.

The square root of 288479632609 is 537103.

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

It can be written as a sum of positive squares in 2 ways, for example, as 123870914209 + 164608718400 = 351953^2 + 405720^2 .

It is not a de Polignac number, because 288479632609 - 2¹⁷ = 288479501537 is a prime.

It is a super-2 number, since 2×288479632609² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288479632619) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1041442579 + ... + 1041442855.

Almost surely, 2^288479632609 is an apocalyptic number.

288479632609 is the 537103-rd square number.

288479632609 is the 268552-nd centered octagonal number.

It is an amenable number.

288479632609 is a deficient number, since it is larger than the sum of its proper divisors (48314579108).

288479632609 is an frugal number, since it uses more digits than its factorization.

288479632609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 288479632609 by its sum of digits (64), we get a square (18462696486976 = 4296824²).

The spelling of 288479632609 in words is "two hundred eighty-eight billion, four hundred seventy-nine million, six hundred thirty-two thousand, six hundred nine".