11801142144 has 384 divisors, whose sum is σ = 40599468000. Its totient is φ = 3247964160.

The previous prime is 11801142103. The next prime is 11801142149. The reversal of 11801142144 is 44124110811.

11801142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6246352 + ... + 6248240.

Almost surely, 2^11801142144 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 11801142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299734000).

11801142144 is an abundant number, since it is smaller than the sum of its proper divisors (28798325856).

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

11801142144 is a wasteful number, since it uses less digits than its factorization.

11801142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11801142144 its reverse (44124110811), we get a palindrome (55925252955).

The spelling of 11801142144 in words is "eleven billion, eight hundred one million, one hundred forty-two thousand, one hundred forty-four".