314128862784 has 315 divisors, whose sum is σ = 995585219265. Its totient is φ = 94697349120.

The previous prime is 314128862771. The next prime is 314128862797. The reversal of 314128862784 is 487268821413.

The square root of 314128862784 is 560472.

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

314128862784 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 2 + 8 + 8 + 627 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (314128862771) and next prime (314128862797).

It can be written as a sum of positive squares in only one way, i.e., 76109774400 + 238019088384 = 275880^2 + 487872^2 .

Its product of digits (4128768) is a multiple of the sum of its prime factors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 314128862784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1627610592 + ... + 1627610784.

Almost surely, 2^314128862784 is an apocalyptic number.

314128862784 is the 560472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314128862784

314128862784 is an abundant number, since it is smaller than the sum of its proper divisors (681456356481).

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

314128862784 is an frugal number, since it uses more digits than its factorization.

314128862784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 209 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 314128862784 in words is "three hundred fourteen billion, one hundred twenty-eight million, eight hundred sixty-two thousand, seven hundred eighty-four".