11649968856 has 160 divisors (see below), whose sum is σ = 34312647600. Its totient is φ = 3687586560.

The previous prime is 11649968839. The next prime is 11649968861. The reversal of 11649968856 is 65886994611.

11649968856 is a `hidden beast` number, since 1 + 1 + 6 + 499 + 68 + 85 + 6 = 666.

11649968856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11649968856³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11649968793 and 11649968802.

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 39 ways as a sum of consecutive naturals, for example, 1141231 + ... + 1151393.

Almost surely, 2^11649968856 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 11649968856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156323800).

11649968856 is an abundant number, since it is smaller than the sum of its proper divisors (22662678744).

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

11649968856 is a wasteful number, since it uses less digits than its factorization.

11649968856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10258 counting only the distinct ones).

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

The spelling of 11649968856 in words is "eleven billion, six hundred forty-nine million, nine hundred sixty-eight thousand, eight hundred fifty-six".