11517411384 has 80 divisors (see below), whose sum is σ = 32572803120. Its totient is φ = 3801841920.

The previous prime is 11517411377. The next prime is 11517411427. The reversal of 11517411384 is 48311471511.

11517411384 is a `hidden beast` number, since 1 + 1 + 517 + 4 + 1 + 138 + 4 = 666.

11517411384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 19537 + ... + 153024.

It is an arithmetic number, because the mean of its divisors is an integer number (407160039).

Almost surely, 2^11517411384 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 11517411384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286401560).

11517411384 is an abundant number, since it is smaller than the sum of its proper divisors (21055391736).

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

11517411384 is a wasteful number, since it uses less digits than its factorization.

11517411384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172682 (or 172669 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

Adding to 11517411384 its reverse (48311471511), we get a palindrome (59828882895).

The spelling of 11517411384 in words is "eleven billion, five hundred seventeen million, four hundred eleven thousand, three hundred eighty-four".