11067490643944 has 256 divisors, whose sum is σ = 25881801523200. Its totient is φ = 4329728121600.

The previous prime is 11067490643899. The next prime is 11067490644047. The reversal of 11067490643944 is 44934609476011.

11067490643944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13382696859 + ... + 13382697685.

It is an arithmetic number, because the mean of its divisors is an integer number (101100787200).

Almost surely, 2^{11067490643944} is an apocalyptic number.

11067490643944 is a gapful number since it is divisible by the number (14) 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 11067490643944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940900761600).

11067490643944 is an abundant number, since it is smaller than the sum of its proper divisors (14814310879256).

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

11067490643944 is a wasteful number, since it uses less digits than its factorization.

11067490643944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 11067490643944 in words is "eleven trillion, sixty-seven billion, four hundred ninety million, six hundred forty-three thousand, nine hundred forty-four".