11142144000 has 896 divisors, whose sum is σ = 45799004160. Its totient is φ = 2654208000.

The previous prime is 11142143953. The next prime is 11142144007. The reversal of 11142144000 is 44124111.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11142144007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359423985 + ... + 359424015.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 2^11142144000 is an apocalyptic number.

11142144000 is a gapful number since it is divisible by the number (10) 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 11142144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899502080).

11142144000 is an abundant number, since it is smaller than the sum of its proper divisors (34656860160).

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

11142144000 is an equidigital number, since it uses as much as digits as its factorization.

11142144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11142144000 its reverse (44124111), we get a palindrome (11186268111).

The spelling of 11142144000 in words is "eleven billion, one hundred forty-two million, one hundred forty-four thousand".