11161172736 has 648 divisors, whose sum is σ = 40819693824. Its totient is φ = 2978519040.

The previous prime is 11161172719. The next prime is 11161172747. The reversal of 11161172736 is 63727116111.

It is a happy number.

11161172736 is a `hidden beast` number, since 1 + 1 + 1 + 611 + 7 + 2 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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.

Its product of digits (10584) is a multiple of the sum of its prime factors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 11161172736.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157199581 + ... + 157199651.

Almost surely, 2^11161172736 is an apocalyptic number.

11161172736 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 11161172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409846912).

11161172736 is an abundant number, since it is smaller than the sum of its proper divisors (29658521088).

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

11161172736 is an frugal number, since it uses more digits than its factorization.

11161172736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

Adding to 11161172736 its reverse (63727116111), we get a palindrome (74888288847).

The spelling of 11161172736 in words is "eleven billion, one hundred sixty-one million, one hundred seventy-two thousand, seven hundred thirty-six".