7486580584161 has 48 divisors (see below), whose sum is σ = 12592530273024. Its totient is φ = 4197146308992.

The previous prime is 7486580584151. The next prime is 7486580584313. The reversal of 7486580584161 is 1614850856847.

It is a happy number.

7486580584161 is a `hidden beast` number, since 7 + 4 + 8 + 6 + 580 + 5 + 8 + 41 + 6 + 1 = 666.

It is not a de Polignac number, because 7486580584161 - 2¹⁷ = 7486580453089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7486580584151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125907340 + ... + 125966786.

It is an arithmetic number, because the mean of its divisors is an integer number (262344380688).

Almost surely, 2^{7486580584161} is an apocalyptic number.

It is an amenable number.

7486580584161 is a deficient number, since it is larger than the sum of its proper divisors (5105949688863).

7486580584161 is a wasteful number, since it uses less digits than its factorization.

7486580584161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97230 (or 97227 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 7486580584161 in words is "seven trillion, four hundred eighty-six billion, five hundred eighty million, five hundred eighty-four thousand, one hundred sixty-one".