12573094772736 has 663 divisors, whose sum is σ = 39808666673211. Its totient is φ = 3970450980864.

The previous prime is 12573094772723. The next prime is 12573094772743. The reversal of 12573094772736 is 63727749037521.

The square root of 12573094772736 is 3545856.

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

12573094772736 is a `hidden beast` number, since 1 + 2 + 57 + 309 + 4 + 7 + 7 + 273 + 6 = 666.

It is a super-4 number, since 4×12573094772736⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 661741830135 + ... + 661741830153.

Almost surely, 2^{12573094772736} is an apocalyptic number.

12573094772736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12573094772736 is the 3545856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12573094772736

12573094772736 is an abundant number, since it is smaller than the sum of its proper divisors (27235571900475).

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

12573094772736 is an frugal number, since it uses more digits than its factorization.

12573094772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 12573094772736 in words is "twelve trillion, five hundred seventy-three billion, ninety-four million, seven hundred seventy-two thousand, seven hundred thirty-six".