11045903239296 has 192 divisors, whose sum is σ = 33485976576000. Its totient is φ = 3485333256192.

The previous prime is 11045903239291. The next prime is 11045903239313. The reversal of 11045903239296 is 69293230954011.

11045903239296 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 590 + 3 + 23 + 9 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11045903239291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26695041 + ... + 27105663.

It is an arithmetic number, because the mean of its divisors is an integer number (174406128000).

Almost surely, 2^{11045903239296} is an apocalyptic number.

11045903239296 is a gapful number since it is divisible by the number (16) 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 11045903239296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742988288000).

11045903239296 is an abundant number, since it is smaller than the sum of its proper divisors (22440073336704).

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

11045903239296 is a wasteful number, since it uses less digits than its factorization.

11045903239296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411891 (or 411876 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 11045903239296 in words is "eleven trillion, forty-five billion, nine hundred three million, two hundred thirty-nine thousand, two hundred ninety-six".