463386069171216 has 135 divisors (see below), whose sum is σ = 1302596305661469. Its totient is φ = 153779119416576.

The previous prime is 463386069171197. The next prime is 463386069171253. The reversal of 463386069171216 is 612171960683364.

It is a happy number.

The square root of 463386069171216 is 21526404.

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

463386069171216 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 8 + 606 + 9 + 1 + 7 + 1 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94104356547600 + 369281712623616 = 9700740^2 + 19216704^2 .

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, 60187821735 + ... + 60187829433.

Almost surely, 2^{463386069171216} is an apocalyptic number.

463386069171216 is the 21526404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463386069171216

463386069171216 is an abundant number, since it is smaller than the sum of its proper divisors (839210236490253).

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

463386069171216 is an frugal number, since it uses more digits than its factorization.

463386069171216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15878 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 463386069171216 in words is "four hundred sixty-three trillion, three hundred eighty-six billion, sixty-nine million, one hundred seventy-one thousand, two hundred sixteen".