11142446016 has 112 divisors (see below), whose sum is σ = 32523488928. Its totient is φ = 3344793600.

The previous prime is 11142445991. The next prime is 11142446039. The reversal of 11142446016 is 61064424111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47896 + ... + 156776.

It is an arithmetic number, because the mean of its divisors is an integer number (290388294).

Almost surely, 2^11142446016 is an apocalyptic number.

11142446016 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 11142446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261744464).

11142446016 is an abundant number, since it is smaller than the sum of its proper divisors (21381042912).

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

11142446016 is a wasteful number, since it uses less digits than its factorization.

11142446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108950 (or 108940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11142446016 in words is "eleven billion, one hundred forty-two million, four hundred forty-six thousand, sixteen".