224561611234116 has 144 divisors (see below), whose sum is σ = 631804293539328. Its totient is φ = 66784527475200.

The previous prime is 224561611234087. The next prime is 224561611234133. The reversal of 224561611234116 is 611432116165422.

224561611234116 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 6 + 1 + 611 + 23 + 4 + 1 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223160 + ... + 21308816.

Almost surely, 2^{224561611234116} is an apocalyptic number.

224561611234116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224561611234116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315902146769664).

224561611234116 is an abundant number, since it is smaller than the sum of its proper divisors (407242682305212).

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

224561611234116 is a wasteful number, since it uses less digits than its factorization.

224561611234116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19086522 (or 19086517 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

Adding to 224561611234116 its reverse (611432116165422), we get a palindrome (835993727399538).

The spelling of 224561611234116 in words is "two hundred twenty-four trillion, five hundred sixty-one billion, six hundred eleven million, two hundred thirty-four thousand, one hundred sixteen".