11365048008864 has 384 divisors, whose sum is σ = 36527225011200. Its totient is φ = 3409174103040.

The previous prime is 11365048008851. The next prime is 11365048008953. The reversal of 11365048008864 is 46880084056311.

11365048008864 is a `hidden beast` number, since 1 + 1 + 36 + 50 + 480 + 0 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11365048008864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1654538422 + ... + 1654545290.

It is an arithmetic number, because the mean of its divisors is an integer number (95122981800).

Almost surely, 2^{11365048008864} 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 11365048008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263612505600).

11365048008864 is an abundant number, since it is smaller than the sum of its proper divisors (25162177002336).

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

11365048008864 is a wasteful number, since it uses less digits than its factorization.

11365048008864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 11365048008864 in words is "eleven trillion, three hundred sixty-five billion, forty-eight million, eight thousand, eight hundred sixty-four".