838528466944 has 255 divisors, whose sum is σ = 1983602693013. Its totient is φ = 354446475264.

The previous prime is 838528466939. The next prime is 838528466947. The reversal of 838528466944 is 449664825838.

The square root of 838528466944 is 915712.

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

It can be written as a sum of positive squares in only one way, i.e., 475989606400 + 362538860544 = 689920^2 + 602112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 838528466944.

It is not an unprimeable number, because it can be changed into a prime (838528466947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11486691292 + ... + 11486691364.

Almost surely, 2^838528466944 is an apocalyptic number.

838528466944 is the 915712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838528466944

838528466944 is an abundant number, since it is smaller than the sum of its proper divisors (1145074226069).

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

838528466944 is an frugal number, since it uses more digits than its factorization.

838528466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 82 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 67.

The spelling of 838528466944 in words is "eight hundred thirty-eight billion, five hundred twenty-eight million, four hundred sixty-six thousand, nine hundred forty-four".