325118916864 has 243 divisors, whose sum is σ = 1091085507057. Its totient is φ = 92836380672.

The previous prime is 325118916853. The next prime is 325118916869. The reversal of 325118916864 is 468619811523.

It is a happy number.

The square root of 325118916864 is 570192.

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

325118916864 is a `hidden beast` number, since 3 + 2 + 511 + 8 + 9 + 1 + 68 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312973113600 + 12145803264 = 559440^2 + 110208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 325118916864.

It is not an unprimeable number, because it can be changed into a prime (325118916869) by changing a digit.

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, 191583664 + ... + 191585360.

Almost surely, 2^325118916864 is an apocalyptic number.

325118916864 is the 570192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325118916864

325118916864 is an abundant number, since it is smaller than the sum of its proper divisors (765966590193).

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

325118916864 is an frugal number, since it uses more digits than its factorization.

325118916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 1709 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 325118916864 in words is "three hundred twenty-five billion, one hundred eighteen million, nine hundred sixteen thousand, eight hundred sixty-four".