289948863961 has 9 divisors (see below), whose sum is σ = 290826521589. Its totient is φ = 289073851836.

The previous prime is 289948863949. The next prime is 289948863977. The reversal of 289948863961 is 169368849982.

The square root of 289948863961 is 538469.

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

It is not a de Polignac number, because 289948863961 - 2¹¹ = 289948861913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289948863161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 249310566 + ... + 249311728.

Almost surely, 2^289948863961 is an apocalyptic number.

289948863961 is the 538469-th square number.

289948863961 is the 269235-th centered octagonal number.

It is an amenable number.

289948863961 is a deficient number, since it is larger than the sum of its proper divisors (877657628).

289948863961 is an frugal number, since it uses more digits than its factorization.

289948863961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 1626 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 73.

The spelling of 289948863961 in words is "two hundred eighty-nine billion, nine hundred forty-eight million, eight hundred sixty-three thousand, nine hundred sixty-one".