11136712608 has 288 divisors, whose sum is σ = 37922556672. Its totient is φ = 3031142400.

The previous prime is 11136712589. The next prime is 11136712661. The reversal of 11136712608 is 80621763111.

11136712608 is a `hidden beast` number, since 1 + 1 + 1 + 36 + 7 + 12 + 608 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 21375388 + ... + 21375908.

It is an arithmetic number, because the mean of its divisors is an integer number (131675544).

Almost surely, 2^11136712608 is an apocalyptic number.

11136712608 is a gapful number since it is divisible by the number (18) 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 11136712608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18961278336).

11136712608 is an abundant number, since it is smaller than the sum of its proper divisors (26785844064).

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

11136712608 is a wasteful number, since it uses less digits than its factorization.

11136712608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11136712608 in words is "eleven billion, one hundred thirty-six million, seven hundred twelve thousand, six hundred eight".