224113410312 has 128 divisors (see below), whose sum is σ = 645894950400. Its totient is φ = 64088064000.

The previous prime is 224113410281. The next prime is 224113410329. The reversal of 224113410312 is 213014311422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1202187 + ... + 1376037.

It is an arithmetic number, because the mean of its divisors is an integer number (5046054300).

Almost surely, 2^224113410312 is an apocalyptic number.

224113410312 is a gapful number since it is divisible by the number (22) 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 224113410312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322947475200).

224113410312 is an abundant number, since it is smaller than the sum of its proper divisors (421781540088).

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

224113410312 is a wasteful number, since it uses less digits than its factorization.

224113410312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174147 (or 174143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 224113410312 its reverse (213014311422), we get a palindrome (437127721734).

The spelling of 224113410312 in words is "two hundred twenty-four billion, one hundred thirteen million, four hundred ten thousand, three hundred twelve".