11686224456 has 160 divisors (see below), whose sum is σ = 34855100280. Its totient is φ = 3645388800.

The previous prime is 11686224437. The next prime is 11686224463. The reversal of 11686224456 is 65442268611.

It is a happy number.

11686224456 is a `hidden beast` number, since 1 + 16 + 8 + 622 + 4 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7858822500 + 3827401956 = 88650^2 + 61866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1990966 + ... + 1996826.

Almost surely, 2^11686224456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686224456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427550140).

11686224456 is an abundant number, since it is smaller than the sum of its proper divisors (23168875824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11686224456 is a wasteful number, since it uses less digits than its factorization.

11686224456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6064 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 11686224456 in words is "eleven billion, six hundred eighty-six million, two hundred twenty-four thousand, four hundred fifty-six".