224363141414130 has 128 divisors (see below), whose sum is σ = 571440047270400. Its totient is φ = 56182999715840.

The previous prime is 224363141414107. The next prime is 224363141414189. The reversal of 224363141414130 is 31414141363422.

It is a happy number.

224363141414130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2679977032 + ... + 2680060748.

It is an arithmetic number, because the mean of its divisors is an integer number (4464375369300).

Almost surely, 2^{224363141414130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224363141414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285720023635200).

224363141414130 is an abundant number, since it is smaller than the sum of its proper divisors (347076905856270).

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

224363141414130 is a wasteful number, since it uses less digits than its factorization.

224363141414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95604.

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 224363141414130 its reverse (31414141363422), we get a palindrome (255777282777552).

The spelling of 224363141414130 in words is "two hundred twenty-four trillion, three hundred sixty-three billion, one hundred forty-one million, four hundred fourteen thousand, one hundred thirty".