806459676961 has 9 divisors (see below), whose sum is σ = 808229978931. Its totient is φ = 804693249984.

The previous prime is 806459676949. The next prime is 806459676973. The reversal of 806459676961 is 169676954608.

The square root of 806459676961 is 898031.

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

806459676961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806459676949) and next prime (806459676973).

It can be written as a sum of positive squares in only one way, i.e., 330028419361 + 476431257600 = 574481^2 + 690240^2 .

It is not a de Polignac number, because 806459676961 - 2¹³ = 806459668769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806459676161) 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, 645683665 + ... + 645684913.

Almost surely, 2^806459676961 is an apocalyptic number.

806459676961 is the 898031-st square number.

806459676961 is the 449016-th centered octagonal number.

It is an amenable number.

806459676961 is a deficient number, since it is larger than the sum of its proper divisors (1770301970).

806459676961 is an frugal number, since it uses more digits than its factorization.

806459676961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 806459676961 in words is "eight hundred six billion, four hundred fifty-nine million, six hundred seventy-six thousand, nine hundred sixty-one".