288763292689 has 9 divisors (see below), whose sum is σ = 294343486843. Its totient is φ = 283286985592.

The previous prime is 288763292683. The next prime is 288763292743. The reversal of 288763292689 is 986292367882.

It is a happy number.

The square root of 288763292689 is 537367.

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., 208168625025 + 80594667664 = 456255^2 + 283892^2 .

It is not a de Polignac number, because 288763292689 - 2¹³ = 288763284497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288763292683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28475382 + ... + 28485520.

Almost surely, 2^288763292689 is an apocalyptic number.

288763292689 is the 537367-th square number.

288763292689 is the 268684-th centered octagonal number.

It is an amenable number.

288763292689 is a deficient number, since it is larger than the sum of its proper divisors (5580194154).

288763292689 is an frugal number, since it uses more digits than its factorization.

288763292689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 10192 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 70.

The spelling of 288763292689 in words is "two hundred eighty-eight billion, seven hundred sixty-three million, two hundred ninety-two thousand, six hundred eighty-nine".