12628365376 has 63 divisors (see below), whose sum is σ = 27566230237. Its totient is φ = 5735671040.

The previous prime is 12628365359. The next prime is 12628365377. The reversal of 12628365376 is 67356382621.

The square root of 12628365376 is 112376.

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., 8295566400 + 4332798976 = 91080^2 + 65824^2 .

It is a super-3 number, since 3×12628365376³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12628365377) 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 8 ways as a sum of consecutive naturals, for example, 9888450 + ... + 9889726.

Almost surely, 2^12628365376 is an apocalyptic number.

12628365376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12628365376 is the 112376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628365376

12628365376 is an abundant number, since it is smaller than the sum of its proper divisors (14937864861).

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

12628365376 is an frugal number, since it uses more digits than its factorization.

12628365376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 1290 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

Multiplying 12628365376 by its sum of digits (49), we get a square (618789903424 = 786632²).

It can be divided in two parts, 1262 and 8365376, that added together give a palindrome (8366638).

The spelling of 12628365376 in words is "twelve billion, six hundred twenty-eight million, three hundred sixty-five thousand, three hundred seventy-six".