11584325214 has 128 divisors (see below), whose sum is σ = 32217523200. Its totient is φ = 2997440640.

The previous prime is 11584325177. The next prime is 11584325267. The reversal of 11584325214 is 41252348511.

11584325214 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 432 + 5 + 214 = 666.

It is a super-2 number, since 2×11584325214² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1113324 + ... + 1123680.

It is an arithmetic number, because the mean of its divisors is an integer number (251699400).

Almost surely, 2^11584325214 is an apocalyptic number.

11584325214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11584325214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108761600).

11584325214 is an abundant number, since it is smaller than the sum of its proper divisors (20633197986).

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

11584325214 is a wasteful number, since it uses less digits than its factorization.

11584325214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10649 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 11584325214 in words is "eleven billion, five hundred eighty-four million, three hundred twenty-five thousand, two hundred fourteen".