224014400234144 has 192 divisors, whose sum is σ = 510305199344640. Its totient is φ = 95876757258240.

The previous prime is 224014400234123. The next prime is 224014400234159. The reversal of 224014400234144 is 441432004410422.

It is a super-3 number, since 3×224014400234144³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779636297 + ... + 779923575.

It is an arithmetic number, because the mean of its divisors is an integer number (2657839579920).

Almost surely, 2^{224014400234144} 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 224014400234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255152599672320).

224014400234144 is an abundant number, since it is smaller than the sum of its proper divisors (286290799110496).

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

224014400234144 is a wasteful number, since it uses less digits than its factorization.

224014400234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288943 (or 288935 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 224014400234144 its reverse (441432004410422), we get a palindrome (665446404644566).

The spelling of 224014400234144 in words is "two hundred twenty-four trillion, fourteen billion, four hundred million, two hundred thirty-four thousand, one hundred forty-four".