11365872048 has 240 divisors, whose sum is σ = 35390234880. Its totient is φ = 3520288512.

The previous prime is 11365871999. The next prime is 11365872059. The reversal of 11365872048 is 84027856311.

11365872048 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 587 + 20 + 48 = 666.

11365872048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11365871994 and 11365872012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3913765 + ... + 3916667.

It is an arithmetic number, because the mean of its divisors is an integer number (147459312).

Almost surely, 2^11365872048 is an apocalyptic number.

11365872048 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 11365872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695117440).

11365872048 is an abundant number, since it is smaller than the sum of its proper divisors (24024362832).

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

11365872048 is a wasteful number, since it uses less digits than its factorization.

11365872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11365872048 in words is "eleven billion, three hundred sixty-five million, eight hundred seventy-two thousand, forty-eight".