447689457216 has 105 divisors (see below), whose sum is σ = 1327234620481. Its totient is φ = 149213760768.

The previous prime is 447689457211. The next prime is 447689457221. The reversal of 447689457216 is 612754986744.

The square root of 447689457216 is 669096.

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

447689457216 is a `hidden beast` number, since 4 + 47 + 6 + 8 + 9 + 4 + 572 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (447689457211) and next prime (447689457221).

It can be written as a sum of positive squares in only one way, i.e., 34106702400 + 413582754816 = 184680^2 + 643104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (447689457211) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48170266 + ... + 48179558.

Almost surely, 2^447689457216 is an apocalyptic number.

447689457216 is the 669096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447689457216

447689457216 is an abundant number, since it is smaller than the sum of its proper divisors (879545163265).

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

447689457216 is an frugal number, since it uses more digits than its factorization.

447689457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610 (or 9298 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 447689457216 in words is "four hundred forty-seven billion, six hundred eighty-nine million, four hundred fifty-seven thousand, two hundred sixteen".