11083948656192 has 224 divisors, whose sum is σ = 34595550051840. Its totient is φ = 3467838873600.

The previous prime is 11083948656181. The next prime is 11083948656223. The reversal of 11083948656192 is 29165684938011.

11083948656192 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 3 + 9 + 4 + 8 + 6 + 5 + 619 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 10266942 + ... + 11295042.

Almost surely, 2^{11083948656192} is an apocalyptic number.

11083948656192 is a gapful number since it is divisible by the number (12) 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 11083948656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297775025920).

11083948656192 is an abundant number, since it is smaller than the sum of its proper divisors (23511601395648).

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

11083948656192 is a wasteful number, since it uses less digits than its factorization.

11083948656192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028506 (or 1028490 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11083948656192 in words is "eleven trillion, eighty-three billion, nine hundred forty-eight million, six hundred fifty-six thousand, one hundred ninety-two".