11331648 has 84 divisors (see below), whose sum is σ = 32967168. Its totient is φ = 3720960.

The previous prime is 11331641. The next prime is 11331659. The reversal of 11331648 is 84613311.

11331648 is a `hidden beast` number, since 1 + 13 + 3 + 1 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11331641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59233 + ... + 59423.

Almost surely, 2^11331648 is an apocalyptic number.

11331648 is a gapful number since it is divisible by the number (18) 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 11331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483584).

11331648 is an abundant number, since it is smaller than the sum of its proper divisors (21635520).

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

11331648 is a wasteful number, since it uses less digits than its factorization.

11331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11331648 is about 3366.2513275155. The cubic root of 11331648 is about 224.6110019305.

Adding to 11331648 its reverse (84613311), we get a palindrome (95944959).

The spelling of 11331648 in words is "eleven million, three hundred thirty-one thousand, six hundred forty-eight".