11482774927344 has 420 divisors, whose sum is σ = 38820494731104. Its totient is φ = 3279273693696.

The previous prime is 11482774927333. The next prime is 11482774927357. The reversal of 11482774927344 is 44372947728411.

11482774927344 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 77 + 492 + 73 + 4 + 4 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1947220204 + ... + 1947226100.

Almost surely, 2^{11482774927344} is an apocalyptic number.

11482774927344 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 11482774927344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410247365552).

11482774927344 is an abundant number, since it is smaller than the sum of its proper divisors (27337719803760).

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

11482774927344 is an equidigital number, since it uses as much as digits as its factorization.

11482774927344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9316 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 11482774927344 in words is "eleven trillion, four hundred eighty-two billion, seven hundred seventy-four million, nine hundred twenty-seven thousand, three hundred forty-four".