11684182048 has 288 divisors, whose sum is σ = 30322059264. Its totient is φ = 4333824000.

The previous prime is 11684182019. The next prime is 11684182051. The reversal of 11684182048 is 84028148611.

It is a super-2 number, since 2×11684182048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11684181995 and 11684182013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61173633 + ... + 61173823.

It is an arithmetic number, because the mean of its divisors is an integer number (105284928).

Almost surely, 2^11684182048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11684182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161029632).

11684182048 is an abundant number, since it is smaller than the sum of its proper divisors (18637877216).

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

11684182048 is a wasteful number, since it uses less digits than its factorization.

11684182048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 11684182048 in words is "eleven billion, six hundred eighty-four million, one hundred eighty-two thousand, forty-eight".