12953146506304 has 63 divisors (see below), whose sum is σ = 25811820884383. Its totient is φ = 6449494016000.

The previous prime is 12953146506281. The next prime is 12953146506323. The reversal of 12953146506304 is 40360564135921.

The square root of 12953146506304 is 3599048.

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

12953146506304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8137052912704 + 4816093593600 = 2852552^2 + 2194560^2 .

It is a super-2 number, since 2×12953146506304² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8090659104 + ... + 8090660704.

Almost surely, 2^{12953146506304} is an apocalyptic number.

12953146506304 is the 3599048-th square number.

It is an amenable number.

12953146506304 is a deficient number, since it is larger than the sum of its proper divisors (12858674378079).

12953146506304 is an frugal number, since it uses more digits than its factorization.

12953146506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 12953146506304 by its sum of digits (49), we get a square (634704178808896 = 25193336²).

The spelling of 12953146506304 in words is "twelve trillion, nine hundred fifty-three billion, one hundred forty-six million, five hundred six thousand, three hundred four".