11365710048 has 720 divisors, whose sum is σ = 43604047872. Its totient is φ = 2839795200.

The previous prime is 11365710047. The next prime is 11365710071. The reversal of 11365710048 is 84001756311.

11365710048 is a `hidden beast` number, since 11 + 36 + 571 + 0 + 0 + 48 = 666.

11365710048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11365709994 and 11365710021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11365710047) 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 119 ways as a sum of consecutive naturals, for example, 68058061 + ... + 68058227.

Almost surely, 2^11365710048 is an apocalyptic number.

11365710048 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 11365710048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802023936).

11365710048 is an abundant number, since it is smaller than the sum of its proper divisors (32238337824).

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

11365710048 is a wasteful number, since it uses less digits than its factorization.

11365710048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

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

The spelling of 11365710048 in words is "eleven billion, three hundred sixty-five million, seven hundred ten thousand, forty-eight".