216848772 has 96 divisors (see below), whose sum is σ = 645075200. Its totient is φ = 61710336.

The previous prime is 216848771. The next prime is 216848773. The reversal of 216848772 is 277848612.

216848772 is a `hidden beast` number, since 2 + 168 + 487 + 7 + 2 = 666.

216848772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216848771) and next prime (216848773).

It is not an unprimeable number, because it can be changed into a prime (216848771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281604 + ... + 282372.

Almost surely, 2^216848772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216848772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322537600).

216848772 is an abundant number, since it is smaller than the sum of its proper divisors (428226428).

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

216848772 is a wasteful number, since it uses less digits than its factorization.

216848772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 216848772 is about 14725.7859552555. The cubic root of 216848772 is about 600.7848728433.

The spelling of 216848772 in words is "two hundred sixteen million, eight hundred forty-eight thousand, seven hundred seventy-two".