224134240014144 has 112 divisors (see below), whose sum is σ = 658928665213440. Its totient is φ = 74709655188480.

The previous prime is 224134240014137. The next prime is 224134240014163. The reversal of 224134240014144 is 441410042431422.

224134240014144 is a `hidden beast` number, since 2 + 2 + 41 + 34 + 2 + 400 + 141 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224134240014099 and 224134240014108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72977364 + ... + 75986604.

Almost surely, 2^{224134240014144} is an apocalyptic number.

224134240014144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224134240014144 is an abundant number, since it is smaller than the sum of its proper divisors (434794425199296).

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

224134240014144 is a wasteful number, since it uses less digits than its factorization.

224134240014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052365 (or 3052349 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 224134240014144 its reverse (441410042431422), we get a palindrome (665544282445566).

The spelling of 224134240014144 in words is "two hundred twenty-four trillion, one hundred thirty-four billion, two hundred forty million, fourteen thousand, one hundred forty-four".