126303473664 has 195 divisors, whose sum is σ = 377917562077. Its totient is φ = 42032922624.

The previous prime is 126303473633. The next prime is 126303473669. The reversal of 126303473664 is 466374303621.

The square root of 126303473664 is 355392.

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

126303473664 is a `hidden beast` number, since 1 + 2 + 630 + 3 + 4 + 7 + 3 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 122645643264 = 60480^2 + 350208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126303473669) 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, 204705484 + ... + 204706100.

Almost surely, 2^126303473664 is an apocalyptic number.

126303473664 is the 355392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126303473664

126303473664 is an abundant number, since it is smaller than the sum of its proper divisors (251614088413).

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

126303473664 is an frugal number, since it uses more digits than its factorization.

126303473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 126303473664 in words is "one hundred twenty-six billion, three hundred three million, four hundred seventy-three thousand, six hundred sixty-four".