4304344224312 has 320 divisors, whose sum is σ = 13343285260800. Its totient is φ = 1285453877760.

The previous prime is 4304344224259. The next prime is 4304344224409. The reversal of 4304344224312 is 2134224434034.

4304344224312 is a `hidden beast` number, since 4 + 304 + 34 + 4 + 2 + 2 + 4 + 312 = 666.

4304344224312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 317025268 + ... + 317038844.

It is an arithmetic number, because the mean of its divisors is an integer number (41697766440).

Almost surely, 2^{4304344224312} 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 4304344224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671642630400).

4304344224312 is an abundant number, since it is smaller than the sum of its proper divisors (9038941036488).

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

4304344224312 is a wasteful number, since it uses less digits than its factorization.

4304344224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14248 (or 14235 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4304344224312 its reverse (2134224434034), we get a palindrome (6438568658346).

The spelling of 4304344224312 in words is "four trillion, three hundred four billion, three hundred forty-four million, two hundred twenty-four thousand, three hundred twelve".