11286481618944 has 1152 divisors, whose sum is σ = 40662068428800. Its totient is φ = 2945321533440.

The previous prime is 11286481618901. The next prime is 11286481618961. The reversal of 11286481618944 is 44981618468211.

11286481618944 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 4 + 8 + 1 + 618 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 7267534072 + ... + 7267535624.

It is an arithmetic number, because the mean of its divisors is an integer number (35296934400).

Almost surely, 2^{11286481618944} is an apocalyptic number.

11286481618944 is a gapful number since it is divisible by the number (14) 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 11286481618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20331034214400).

11286481618944 is an abundant number, since it is smaller than the sum of its proper divisors (29375586809856).

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

11286481618944 is a wasteful number, since it uses less digits than its factorization.

11286481618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1698 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 11286481618944 in words is "eleven trillion, two hundred eighty-six billion, four hundred eighty-one million, six hundred eighteen thousand, nine hundred forty-four".