11045003543064 has 192 divisors, whose sum is σ = 31165566531840. Its totient is φ = 3530482018560.

The previous prime is 11045003543051. The next prime is 11045003543087. The reversal of 11045003543064 is 46034530054011.

11045003543064 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 50 + 0 + 3 + 543 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 655753827 + ... + 655770669.

It is an arithmetic number, because the mean of its divisors is an integer number (162320659020).

Almost surely, 2^{11045003543064} 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 11045003543064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582783265920).

11045003543064 is an abundant number, since it is smaller than the sum of its proper divisors (20120562988776).

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

11045003543064 is a wasteful number, since it uses less digits than its factorization.

11045003543064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20430 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 11045003543064 its reverse (46034530054011), we get a palindrome (57079533597075).

The spelling of 11045003543064 in words is "eleven trillion, forty-five billion, three million, five hundred forty-three thousand, sixty-four".