216507812416 has 105 divisors (see below), whose sum is σ = 501630919139. Its totient is φ = 92710891392.

The previous prime is 216507812383. The next prime is 216507812419. The reversal of 216507812416 is 614218705612.

The square root of 216507812416 is 465304.

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

It is not an unprimeable number, because it can be changed into a prime (216507812419) 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, 182398575 + ... + 182399761.

Almost surely, 2^216507812416 is an apocalyptic number.

216507812416 is the 465304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216507812416

216507812416 is an abundant number, since it is smaller than the sum of its proper divisors (285123106723).

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

216507812416 is an frugal number, since it uses more digits than its factorization.

216507812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 216507812416 in words is "two hundred sixteen billion, five hundred seven million, eight hundred twelve thousand, four hundred sixteen".