11142062784 has 224 divisors, whose sum is σ = 33832190400. Its totient is φ = 3593134080.

The previous prime is 11142062629. The next prime is 11142062791. The reversal of 11142062784 is 48726024111.

It is a happy number.

11142062784 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 20 + 627 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 14640964 + ... + 14641724.

Almost surely, 2^11142062784 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 11142062784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916095200).

11142062784 is an abundant number, since it is smaller than the sum of its proper divisors (22690127616).

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

11142062784 is a wasteful number, since it uses less digits than its factorization.

11142062784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 11142062784 its reverse (48726024111), we get a palindrome (59868086895).

The spelling of 11142062784 in words is "eleven billion, one hundred forty-two million, sixty-two thousand, seven hundred eighty-four".