11141885216 has 288 divisors, whose sum is σ = 29324623104. Its totient is φ = 4070246400.

The previous prime is 11141885203. The next prime is 11141885219. The reversal of 11141885216 is 61258814111.

It is a self number, because there is not a number n which added to its sum of digits gives 11141885216.

It is not an unprimeable number, because it can be changed into a prime (11141885219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38026766 + ... + 38027058.

It is an arithmetic number, because the mean of its divisors is an integer number (101821608).

Almost surely, 2^11141885216 is an apocalyptic number.

11141885216 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 11141885216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662311552).

11141885216 is an abundant number, since it is smaller than the sum of its proper divisors (18182737888).

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

11141885216 is a wasteful number, since it uses less digits than its factorization.

11141885216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its digits is 15360, while the sum is 38.

The spelling of 11141885216 in words is "eleven billion, one hundred forty-one million, eight hundred eighty-five thousand, two hundred sixteen".