4938208395264 has 315 divisors, whose sum is σ = 14830463766783. Its totient is φ = 1643509481472.

The previous prime is 4938208395257. The next prime is 4938208395269. The reversal of 4938208395264 is 4625938028394.

It is a happy number.

The square root of 4938208395264 is 2222208.

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

4938208395264 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 20 + 83 + 9 + 526 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4938208395269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7679950527 + ... + 7679951169.

Almost surely, 2^{4938208395264} is an apocalyptic number.

4938208395264 is the 2222208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938208395264

4938208395264 is an abundant number, since it is smaller than the sum of its proper divisors (9892255371519).

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

4938208395264 is an frugal number, since it uses more digits than its factorization.

4938208395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 4938208395264 in words is "four trillion, nine hundred thirty-eight billion, two hundred eight million, three hundred ninety-five thousand, two hundred sixty-four".