11045342304000 has 576 divisors, whose sum is σ = 40820969280000. Its totient is φ = 2941268889600.

The previous prime is 11045342303953. The next prime is 11045342304041. The reversal of 11045342304000 is 40324354011.

It is a happy number.

11045342304000 is a `hidden beast` number, since 1 + 10 + 4 + 5 + 342 + 304 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11045342304000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 638487351 + ... + 638504649.

Almost surely, 2^{11045342304000} is an apocalyptic number.

11045342304000 is a gapful number since it is divisible by the number (10) 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 11045342304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410484640000).

11045342304000 is an abundant number, since it is smaller than the sum of its proper divisors (29775626976000).

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

11045342304000 is an equidigital number, since it uses as much as digits as its factorization.

11045342304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078 (or 18048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11045342304000 its reverse (40324354011), we get a palindrome (11085666658011).

The spelling of 11045342304000 in words is "eleven trillion, forty-five billion, three hundred forty-two million, three hundred four thousand".