4768493281344 has 315 divisors, whose sum is σ = 15312843756903. Its totient is φ = 1466599799808.

The previous prime is 4768493281261. The next prime is 4768493281361. The reversal of 4768493281344 is 4431823948674.

The square root of 4768493281344 is 2183688.

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

4768493281344 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 4 + 9 + 3 + 281 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1307107450944 + 3461385830400 = 1143288^2 + 1860480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2043930802 + ... + 2043933134.

Almost surely, 2^{4768493281344} is an apocalyptic number.

4768493281344 is the 2183688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768493281344

4768493281344 is an abundant number, since it is smaller than the sum of its proper divisors (10544350475559).

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

4768493281344 is an frugal number, since it uses more digits than its factorization.

4768493281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 2351 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 4768493281344 in words is "four trillion, seven hundred sixty-eight billion, four hundred ninety-three million, two hundred eighty-one thousand, three hundred forty-four".