11454224224144 has 80 divisors (see below), whose sum is σ = 24064111572592. Its totient is φ = 5250227134464.

The previous prime is 11454224224141. The next prime is 11454224224207. The reversal of 11454224224144 is 44142242245411.

It can be written as a sum of positive squares in 8 ways, for example, as 780360224400 + 10673863999744 = 883380^2 + 3267088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11454224224097 and 11454224224106.

It is not an unprimeable number, because it can be changed into a prime (11454224224141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64995412 + ... + 65171404.

Almost surely, 2^{11454224224144} 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 11454224224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032055786296).

11454224224144 is an abundant number, since it is smaller than the sum of its proper divisors (12609887348448).

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

11454224224144 is a wasteful number, since it uses less digits than its factorization.

11454224224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178164 (or 178158 counting only the distinct ones).

The product of its digits is 327680, while the sum is 40.

Adding to 11454224224144 its reverse (44142242245411), we get a palindrome (55596466469555).

The spelling of 11454224224144 in words is "eleven trillion, four hundred fifty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred forty-four".