288608146917841 has 9 divisors (see below), whose sum is σ = 289739888580891. Its totient is φ = 287480808970752.

The previous prime is 288608146917809. The next prime is 288608146917863. The reversal of 288608146917841 is 148719641806882.

The square root of 288608146917841 is 16988471.

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., 284133669750225 + 4474477167616 = 16856265^2 + 2115296^2 .

It is not a de Polignac number, because 288608146917841 - 2⁵ = 288608146917809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288608146917941) 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, 4366003996 + ... + 4366070098.

Almost surely, 2^{288608146917841} is an apocalyptic number.

288608146917841 is the 16988471-st square number.

288608146917841 is the 8494236-th centered octagonal number.

It is an amenable number.

288608146917841 is a deficient number, since it is larger than the sum of its proper divisors (1131741663050).

288608146917841 is an frugal number, since it uses more digits than its factorization.

288608146917841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132720 (or 66360 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 73.

The spelling of 288608146917841 in words is "two hundred eighty-eight trillion, six hundred eight billion, one hundred forty-six million, nine hundred seventeen thousand, eight hundred forty-one".