288628628602841 has 2 divisors, whose sum is σ = 288628628602842. Its totient is φ = 288628628602840.

The previous prime is 288628628602823. The next prime is 288628628602879. The reversal of 288628628602841 is 148206826826882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236873769615616 + 51754858987225 = 15390704^2 + 7194085^2 .

It is a cyclic number.

It is not a de Polignac number, because 288628628602841 - 2³⁰ = 288627554861017 is a prime.

It is not a weakly prime, because it can be changed into another prime (288628628602241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144314314301420 + 144314314301421.

It is an arithmetic number, because the mean of its divisors is an integer number (144314314301421).

Almost surely, 2^{288628628602841} is an apocalyptic number.

It is an amenable number.

288628628602841 is a deficient number, since it is larger than the sum of its proper divisors (1).

288628628602841 is an equidigital number, since it uses as much as digits as its factorization.

288628628602841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 452984832, while the sum is 71.

The spelling of 288628628602841 in words is "two hundred eighty-eight trillion, six hundred twenty-eight billion, six hundred twenty-eight million, six hundred two thousand, eight hundred forty-one".