4314913344 has 567 divisors, whose sum is σ = 15976639497. Its totient is φ = 1109864448.

The previous prime is 4314913333. The next prime is 4314913373. The reversal of 4314913344 is 4433194134.

The square root of 4314913344 is 65688.

It is a perfect power (a square), and thus also a powerful number.

4314913344 is a `hidden beast` number, since 4 + 314 + 9 + 1 + 334 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3359361600 + 955551744 = 57960^2 + 30912^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4314913299 and 4314913308.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 187604917 + ... + 187604939.

Almost surely, 2^4314913344 is an apocalyptic number.

4314913344 is the 65688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314913344

4314913344 is an abundant number, since it is smaller than the sum of its proper divisors (11661726153).

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

4314913344 is a wasteful number, since it uses less digits than its factorization.

4314913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 4314913344 is about 1628.0110916505.

Multiplying 4314913344 by its sum of digits (36), we get a square (155336880384 = 394128²).

4314913344 divided by its sum of digits (36) gives a square (119858704 = 10948²).

The spelling of 4314913344 in words is "four billion, three hundred fourteen million, nine hundred thirteen thousand, three hundred forty-four".