11136764358144 has 240 divisors, whose sum is σ = 33240878161920. Its totient is φ = 3587274362880.

The previous prime is 11136764358143. The next prime is 11136764358169. The reversal of 11136764358144 is 44185346763111.

It is a happy number.

11136764358144 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 67 + 6 + 435 + 8 + 144 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136764358143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16784049 + ... + 17434959.

It is an arithmetic number, because the mean of its divisors is an integer number (138503659008).

Almost surely, 2^{11136764358144} 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 11136764358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620439080960).

11136764358144 is an abundant number, since it is smaller than the sum of its proper divisors (22104113803776).

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

11136764358144 is an equidigital number, since it uses as much as digits as its factorization.

11136764358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651061 (or 651042 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 11136764358144 in words is "eleven trillion, one hundred thirty-six billion, seven hundred sixty-four million, three hundred fifty-eight thousand, one hundred forty-four".