126656268544 has 243 divisors, whose sum is σ = 288413823243. Its totient is φ = 55484362752.

The previous prime is 126656268527. The next prime is 126656268569. The reversal of 126656268544 is 445862656621.

The square root of 126656268544 is 355888.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16240953600 + 110415314944 = 127440^2 + 332288^2 .

It is a super-2 number, since 2×126656268544² (a number of 23 digits) contains 22 as substring.

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, 2146716387 + ... + 2146716445.

Almost surely, 2^126656268544 is an apocalyptic number.

126656268544 is the 355888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126656268544

126656268544 is an abundant number, since it is smaller than the sum of its proper divisors (161757554699).

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

126656268544 is an frugal number, since it uses more digits than its factorization.

126656268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 103 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 55.

The spelling of 126656268544 in words is "one hundred twenty-six billion, six hundred fifty-six million, two hundred sixty-eight thousand, five hundred forty-four".