8006474486961 has 12 divisors (see below), whose sum is σ = 11581405329780. Its totient is φ = 5330035317600.

The previous prime is 8006474486951. The next prime is 8006474486971. The reversal of 8006474486961 is 1696844746008.

8006474486961 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 474 + 48 + 69 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (8006474486951) and next prime (8006474486971).

It can be written as a sum of positive squares in 2 ways, for example, as 7005714342561 + 1000760144400 = 2646831^2 + 1000380^2 .

It is not a de Polignac number, because 8006474486961 - 2¹⁵ = 8006474454193 is a prime.

It is a super-3 number, since 3×8006474486961³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8006474486951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634521706 + ... + 634534323.

It is an arithmetic number, because the mean of its divisors is an integer number (965117110815).

Almost surely, 2^{8006474486961} is an apocalyptic number.

It is an amenable number.

8006474486961 is a deficient number, since it is larger than the sum of its proper divisors (3574930842819).

8006474486961 is a wasteful number, since it uses less digits than its factorization.

8006474486961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269056736 (or 1269056733 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8006474486961 in words is "eight trillion, six billion, four hundred seventy-four million, four hundred eighty-six thousand, nine hundred sixty-one".