11161128384 has 336 divisors, whose sum is σ = 38557321920. Its totient is φ = 3019161600.

The previous prime is 11161128367. The next prime is 11161128401. The reversal of 11161128384 is 48382116111.

11161128384 is a `hidden beast` number, since 1 + 1 + 1 + 611 + 2 + 8 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11161128367) and next prime (11161128401).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6196284 + ... + 6198084.

Almost surely, 2^11161128384 is an apocalyptic number.

11161128384 is a gapful number since it is divisible by the number (14) 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 11161128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278660960).

11161128384 is an abundant number, since it is smaller than the sum of its proper divisors (27396193536).

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

11161128384 is a wasteful number, since it uses less digits than its factorization.

11161128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1895 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 11161128384 in words is "eleven billion, one hundred sixty-one million, one hundred twenty-eight thousand, three hundred eighty-four".