11084507136 has 288 divisors, whose sum is σ = 33633873000. Its totient is φ = 3512205312.

The previous prime is 11084507111. The next prime is 11084507167. The reversal of 11084507136 is 63170548011.

11084507136 is a `hidden beast` number, since 1 + 10 + 8 + 4 + 507 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6425625600 + 4658881536 = 80160^2 + 68256^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11084507136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47572876 + ... + 47573108.

Almost surely, 2^11084507136 is an apocalyptic number.

11084507136 is a gapful number since it is divisible by the number (16) 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 11084507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816936500).

11084507136 is an abundant number, since it is smaller than the sum of its proper divisors (22549365864).

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

11084507136 is a wasteful number, since it uses less digits than its factorization.

11084507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11084507136 in words is "eleven billion, eighty-four million, five hundred seven thousand, one hundred thirty-six".