328315248144 has 135 divisors (see below), whose sum is σ = 995213476647. Its totient is φ = 100992572928.

The previous prime is 328315248103. The next prime is 328315248179. The reversal of 328315248144 is 441842513823.

The square root of 328315248144 is 572988.

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

328315248144 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 1 + 524 + 81 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207378230544 + 120937017600 = 455388^2 + 347760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 328315248144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89384292 + ... + 89387964.

Almost surely, 2^328315248144 is an apocalyptic number.

328315248144 is the 572988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328315248144

328315248144 is an abundant number, since it is smaller than the sum of its proper divisors (666898228503).

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

328315248144 is an equidigital number, since it uses as much as digits as its factorization.

328315248144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 3691 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 328315248144 in words is "three hundred twenty-eight billion, three hundred fifteen million, two hundred forty-eight thousand, one hundred forty-four".