314640221184 has 99 divisors (see below), whose sum is σ = 908672325223. Its totient is φ = 104862124032.

The previous prime is 314640221167. The next prime is 314640221197. The reversal of 314640221184 is 481122046413.

The square root of 314640221184 is 560928.

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

314640221184 is a `hidden beast` number, since 3 + 1 + 4 + 640 + 2 + 2 + 1 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53846167 + ... + 53852009.

Almost surely, 2^314640221184 is an apocalyptic number.

314640221184 is the 560928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314640221184

314640221184 is an abundant number, since it is smaller than the sum of its proper divisors (594032104039).

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

314640221184 is an frugal number, since it uses more digits than its factorization.

314640221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 314640221184 by its sum of digits (36), we get a square (11327047962624 = 3365568²).

314640221184 divided by its sum of digits (36) gives a square (8740006144 = 93488²).

Adding to 314640221184 its reverse (481122046413), we get a palindrome (795762267597).

It can be divided in two parts, 314640 and 221184, that added together give a square (535824 = 732²).

The spelling of 314640221184 in words is "three hundred fourteen billion, six hundred forty million, two hundred twenty-one thousand, one hundred eighty-four".