12161627757 has 12 divisors (see below), whose sum is σ = 17568168540. Its totient is φ = 8107118208.

The previous prime is 12161627713. The next prime is 12161627759. The reversal of 12161627757 is 75772616121.

12161627757 is a `hidden beast` number, since 1 + 2 + 1 + 616 + 27 + 7 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11111478921 + 1050148836 = 105411^2 + 32406^2 .

It is not a de Polignac number, because 12161627757 - 2¹⁵ = 12161594989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161627759) 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, 88719 + ... + 179427.

It is an arithmetic number, because the mean of its divisors is an integer number (1464014045).

Almost surely, 2^12161627757 is an apocalyptic number.

It is an amenable number.

12161627757 is a deficient number, since it is larger than the sum of its proper divisors (5406540783).

12161627757 is a wasteful number, since it uses less digits than its factorization.

12161627757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105612 (or 105609 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 12161627757 in words is "twelve billion, one hundred sixty-one million, six hundred twenty-seven thousand, seven hundred fifty-seven".