11683381248 has 600 divisors, whose sum is σ = 44054576160. Its totient is φ = 3034644480.

The previous prime is 11683381217. The next prime is 11683381267. The reversal of 11683381248 is 84218338611.

11683381248 is a `hidden beast` number, since 11 + 68 + 338 + 1 + 248 = 666.

It is a super-2 number, since 2×11683381248² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062125563 + ... + 1062125573.

Almost surely, 2^11683381248 is an apocalyptic number.

11683381248 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 11683381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027288080).

11683381248 is an abundant number, since it is smaller than the sum of its proper divisors (32371194912).

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

11683381248 is an frugal number, since it uses more digits than its factorization.

11683381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 11683381248 in words is "eleven billion, six hundred eighty-three million, three hundred eighty-one thousand, two hundred forty-eight".