4312317398544 has 135 divisors (see below), whose sum is σ = 12170541709677. Its totient is φ = 1425386476800.

The previous prime is 4312317398513. The next prime is 4312317398551. The reversal of 4312317398544 is 4458937132134.

The square root of 4312317398544 is 2076612.

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

4312317398544 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 3 + 1 + 7 + 3 + 98 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3992051952144 + 320265446400 = 1998012^2 + 565920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3264433404 + ... + 3264434724.

Almost surely, 2^{4312317398544} is an apocalyptic number.

4312317398544 is the 2076612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312317398544

4312317398544 is an abundant number, since it is smaller than the sum of its proper divisors (7858224311133).

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

4312317398544 is an equidigital number, since it uses as much as digits as its factorization.

4312317398544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1457 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 4312317398544 in words is "four trillion, three hundred twelve billion, three hundred seventeen million, three hundred ninety-eight thousand, five hundred forty-four".