11144461024 has 48 divisors (see below), whose sum is σ = 22459852800. Its totient is φ = 5440927104.

The previous prime is 11144460931. The next prime is 11144461051. The reversal of 11144461024 is 42016444111.

It is a junction number, because it is equal to n+sod(n) for n = 11144460983 and 11144461001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651817 + ... + 668695.

It is an arithmetic number, because the mean of its divisors is an integer number (467913600).

Almost surely, 2^11144461024 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 11144461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229926400).

11144461024 is an abundant number, since it is smaller than the sum of its proper divisors (11315391776).

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

11144461024 is a wasteful number, since it uses less digits than its factorization.

11144461024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 11144461024 in words is "eleven billion, one hundred forty-four million, four hundred sixty-one thousand, twenty-four".