11485454184 has 256 divisors, whose sum is σ = 34577280000. Its totient is φ = 3531700224.

The previous prime is 11485454177. The next prime is 11485454203. The reversal of 11485454184 is 48145458411.

11485454184 is a `hidden beast` number, since 1 + 14 + 8 + 5 + 454 + 184 = 666.

11485454184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11485454184³ (a number of 31 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83835364 + ... + 83835500.

It is an arithmetic number, because the mean of its divisors is an integer number (135067500).

Almost surely, 2^11485454184 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 11485454184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288640000).

11485454184 is an abundant number, since it is smaller than the sum of its proper divisors (23091825816).

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

11485454184 is a wasteful number, since it uses less digits than its factorization.

11485454184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 238 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The spelling of 11485454184 in words is "eleven billion, four hundred eighty-five million, four hundred fifty-four thousand, one hundred eighty-four".