11561730048 has 378 divisors, whose sum is σ = 38107465767. Its totient is φ = 3503554560.

The previous prime is 11561729989. The next prime is 11561730053. The reversal of 11561730048 is 84003716511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11561730048 is a `hidden beast` number, since 1 + 1 + 5 + 617 + 30 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5780865024 + 5780865024 = 76032^2 + 76032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76032.

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 = 11561729994 and 11561730021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1051066363 + ... + 1051066373.

Almost surely, 2^11561730048 is an apocalyptic number.

11561730048 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 11561730048

11561730048 is an abundant number, since it is smaller than the sum of its proper divisors (26545735719).

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

11561730048 is an frugal number, since it uses more digits than its factorization.

11561730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 16 counting only the distinct ones).

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

The spelling of 11561730048 in words is "eleven billion, five hundred sixty-one million, seven hundred thirty thousand, forty-eight".