11163135744 has 432 divisors, whose sum is σ = 35808917760. Its totient is φ = 3427522560.

The previous prime is 11163135719. The next prime is 11163135749. The reversal of 11163135744 is 44753136111.

11163135744 is a `hidden beast` number, since 1 + 11 + 63 + 13 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 11163135699 and 11163135708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163135749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157227229 + ... + 157227299.

Almost surely, 2^11163135744 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 11163135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904458880).

11163135744 is an abundant number, since it is smaller than the sum of its proper divisors (24645782016).

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

11163135744 is an equidigital number, since it uses as much as digits as its factorization.

11163135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 142 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 11163135744 in words is "eleven billion, one hundred sixty-three million, one hundred thirty-five thousand, seven hundred forty-four".