11181486240 has 120 divisors (see below), whose sum is σ = 39461374260. Its totient is φ = 2981726208.

The previous prime is 11181486229. The next prime is 11181486269. The reversal of 11181486240 is 4268418111.

11181486240 is a `hidden beast` number, since 1 + 1 + 18 + 14 + 8 + 624 + 0 = 666.

11181486240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10430945424 + 750540816 = 102132^2 + 27396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11181486195 and 11181486204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 418425 + ... + 444344.

Almost surely, 2^11181486240 is an apocalyptic number.

11181486240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11181486240 is an abundant number, since it is smaller than the sum of its proper divisors (28279888020).

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

11181486240 is an equidigital number, since it uses as much as digits as its factorization.

11181486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862796 (or 862779 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11181486240 in words is "eleven billion, one hundred eighty-one million, four hundred eighty-six thousand, two hundred forty".