11546401452561 has 20 divisors (see below), whose sum is σ = 17419103633844. Its totient is φ = 7621387092000.

The previous prime is 11546401452529. The next prime is 11546401452581. The reversal of 11546401452561 is 16525410464511.

It is a happy number.

11546401452561 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 40 + 1 + 45 + 2 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9617788777536 + 1928612675025 = 3101256^2 + 1388745^2 .

It is not a de Polignac number, because 11546401452561 - 2⁵ = 11546401452529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11546401452581) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 705675810 + ... + 705692171.

Almost surely, 2^{11546401452561} is an apocalyptic number.

It is an amenable number.

11546401452561 is a deficient number, since it is larger than the sum of its proper divisors (5872702181283).

11546401452561 is a wasteful number, since it uses less digits than its factorization.

11546401452561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411368094 (or 1411368085 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 11546401452561 in words is "eleven trillion, five hundred forty-six billion, four hundred one million, four hundred fifty-two thousand, five hundred sixty-one".