126363186576 has 135 divisors (see below), whose sum is σ = 388857689857. Its totient is φ = 38277655680.

The previous prime is 126363186529. The next prime is 126363186601. The reversal of 126363186576 is 675681363621.

The square root of 126363186576 is 355476.

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

126363186576 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 63 + 1 + 8 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51847290000 + 74515896576 = 227700^2 + 272976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46921486 + ... + 46924178.

Almost surely, 2^126363186576 is an apocalyptic number.

126363186576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126363186576 is the 355476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126363186576

126363186576 is an abundant number, since it is smaller than the sum of its proper divisors (262494503281).

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

126363186576 is an equidigital number, since it uses as much as digits as its factorization.

126363186576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 2709 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 126363186576 in words is "one hundred twenty-six billion, three hundred sixty-three million, one hundred eighty-six thousand, five hundred seventy-six".