11288744045568 has 528 divisors, whose sum is σ = 37224076511232. Its totient is φ = 3263791104000.

The previous prime is 11288744045561. The next prime is 11288744045591. The reversal of 11288744045568 is 86554044788211.

11288744045568 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 74 + 4 + 0 + 4 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (11288744045561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223103280 + ... + 223153872.

Almost surely, 2^{11288744045568} is an apocalyptic number.

11288744045568 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 11288744045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612038255616).

11288744045568 is an abundant number, since it is smaller than the sum of its proper divisors (25935332465664).

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

11288744045568 is a wasteful number, since it uses less digits than its factorization.

11288744045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50732 (or 50711 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 11288744045568 in words is "eleven trillion, two hundred eighty-eight billion, seven hundred forty-four million, forty-five thousand, five hundred sixty-eight".