846710988561 has 15 divisors (see below), whose sum is σ = 1264852243083. Its totient is φ = 564468471360.

The previous prime is 846710988521. The next prime is 846710988577. The reversal of 846710988561 is 165889017648.

The square root of 846710988561 is 920169.

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

846710988561 is a `hidden beast` number, since 8 + 4 + 67 + 1 + 0 + 9 + 8 + 8 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 568939826961 + 277771161600 = 754281^2 + 527040^2 .

It is not a de Polignac number, because 846710988561 - 2⁷ = 846710988433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (846710988521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8230401 + ... + 8332641.

Almost surely, 2^846710988561 is an apocalyptic number.

846710988561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

846710988561 is the 920169-th square number.

846710988561 is the 460085-th centered octagonal number.

It is an amenable number.

846710988561 is a deficient number, since it is larger than the sum of its proper divisors (418141254522).

846710988561 is an frugal number, since it uses more digits than its factorization.

846710988561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204494 (or 102244 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 846710988561 in words is "eight hundred forty-six billion, seven hundred ten million, nine hundred eighty-eight thousand, five hundred sixty-one".