11486041056 has 240 divisors, whose sum is σ = 38747038176. Its totient is φ = 3269735424.

The previous prime is 11486041051. The next prime is 11486041087. The reversal of 11486041056 is 65014068411.

11486041056 is a `hidden beast` number, since 1 + 1 + 48 + 604 + 1 + 0 + 5 + 6 = 666.

11486041056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11486041056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11486041051) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5750650 + ... + 5752646.

Almost surely, 2^11486041056 is an apocalyptic number.

11486041056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11486041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373519088).

11486041056 is an abundant number, since it is smaller than the sum of its proper divisors (27260997120).

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

11486041056 is a wasteful number, since it uses less digits than its factorization.

11486041056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11486041056 in words is "eleven billion, four hundred eighty-six million, forty-one thousand, fifty-six".