12573945792576 has 189 divisors, whose sum is σ = 41927167699599. Its totient is φ = 3592385733888.

The previous prime is 12573945792571. The next prime is 12573945792581. The reversal of 12573945792576 is 67529754937521.

The square root of 12573945792576 is 3545976.

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

12573945792576 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 9 + 45 + 7 + 9 + 2 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (12573945792571) and next prime (12573945792581).

It is a super-2 number, since 2×12573945792576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12573945792571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 595713415 + ... + 595734521.

Almost surely, 2^{12573945792576} is an apocalyptic number.

12573945792576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12573945792576 is the 3545976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12573945792576

12573945792576 is an abundant number, since it is smaller than the sum of its proper divisors (29353221907023).

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

12573945792576 is an frugal number, since it uses more digits than its factorization.

12573945792576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42246 (or 21119 counting only the distinct ones).

The product of its digits is 1000188000, while the sum is 72.

The spelling of 12573945792576 in words is "twelve trillion, five hundred seventy-three billion, nine hundred forty-five million, seven hundred ninety-two thousand, five hundred seventy-six".