8305477461 has 12 divisors (see below), whose sum is σ = 12289406220. Its totient is φ = 5401936320.

The previous prime is 8305477459. The next prime is 8305477529. The reversal of 8305477461 is 1647745038.

8305477461 is a `hidden beast` number, since 8 + 30 + 547 + 74 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 697276836 + 7608200625 = 26406^2 + 87225^2 .

It is not a de Polignac number, because 8305477461 - 2¹ = 8305477459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8305477441) 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 11 ways as a sum of consecutive naturals, for example, 11253666 + ... + 11254403.

It is an arithmetic number, because the mean of its divisors is an integer number (1024117185).

Almost surely, 2^8305477461 is an apocalyptic number.

It is an amenable number.

8305477461 is a deficient number, since it is larger than the sum of its proper divisors (3983928759).

8305477461 is a wasteful number, since it uses less digits than its factorization.

8305477461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508116 (or 22508113 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8305477461 is about 91134.3923060883. The cubic root of 8305477461 is about 2025.1391428852.

The spelling of 8305477461 in words is "eight billion, three hundred five million, four hundred seventy-seven thousand, four hundred sixty-one".