12461480161 has 27 divisors (see below), whose sum is σ = 13993635033. Its totient is φ = 11091656160.

The previous prime is 12461480153. The next prime is 12461480183. The reversal of 12461480161 is 16108416421.

It is a happy number.

The square root of 12461480161 is 111631.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5763694561 + 6697785600 = 75919^2 + 81840^2 .

It is not a de Polignac number, because 12461480161 - 2³ = 12461480153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12461480261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44987155 + ... + 44987431.

It is an arithmetic number, because the mean of its divisors is an integer number (518282779).

Almost surely, 2^12461480161 is an apocalyptic number.

12461480161 is the 111631-st square number.

12461480161 is the 55816-th centered octagonal number.

It is an amenable number.

12461480161 is a deficient number, since it is larger than the sum of its proper divisors (1532154872).

12461480161 is an frugal number, since it uses more digits than its factorization.

12461480161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Multiplying 12461480161 by its product of nonzero digits (9216), we get a square (114845001163776 = 10716576²).

Adding to 12461480161 its reverse (16108416421), we get a palindrome (28569896582).

The spelling of 12461480161 in words is "twelve billion, four hundred sixty-one million, four hundred eighty thousand, one hundred sixty-one".