12345876544 has 189 divisors, whose sum is σ = 28120153437. Its totient is φ = 5376043008.

The previous prime is 12345876533. The next prime is 12345876553. The reversal of 12345876544 is 44567854321.

The square root of 12345876544 is 111112.

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

12345876544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9611841600 + 2734034944 = 98040^2 + 52288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287113387 + ... + 287113429.

Almost surely, 2^12345876544 is an apocalyptic number.

12345876544 is the 111112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12345876544

12345876544 is an abundant number, since it is smaller than the sum of its proper divisors (15774276893).

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

12345876544 is an equidigital number, since it uses as much as digits as its factorization.

12345876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 81 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 49.

Multiplying 12345876544 by its sum of digits (49), we get a square (604947950656 = 777784²).

It can be divided in two parts, 123458 and 76544, that added together give a palindrome (200002).

The spelling of 12345876544 in words is "twelve billion, three hundred forty-five million, eight hundred seventy-six thousand, five hundred forty-four".