11144604656024 has 96 divisors (see below), whose sum is σ = 24433926697440. Its totient is φ = 4668022794240.

The previous prime is 11144604655997. The next prime is 11144604656041. The reversal of 11144604656024 is 42065640644111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32544704 + ... + 32885360.

It is an arithmetic number, because the mean of its divisors is an integer number (254520069765).

Almost surely, 2^{11144604656024} is an apocalyptic number.

11144604656024 is a gapful number since it is divisible by the number (14) 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 11144604656024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216963348720).

11144604656024 is an abundant number, since it is smaller than the sum of its proper divisors (13289322041416).

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

11144604656024 is a wasteful number, since it uses less digits than its factorization.

11144604656024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340949 (or 340884 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 11144604656024 in words is "eleven trillion, one hundred forty-four billion, six hundred four million, six hundred fifty-six thousand, twenty-four".