216945568 has 96 divisors (see below), whose sum is σ = 539529984. Its totient is φ = 83668992.

The previous prime is 216945523. The next prime is 216945571. The reversal of 216945568 is 865549612.

216945568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86346 + ... + 88822.

It is an arithmetic number, because the mean of its divisors is an integer number (5620104).

Almost surely, 2^216945568 is an apocalyptic number.

216945568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269764992).

216945568 is an abundant number, since it is smaller than the sum of its proper divisors (322584416).

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

216945568 is a wasteful number, since it uses less digits than its factorization.

216945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2526 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 216945568 is about 14729.0722043176. The cubic root of 216945568 is about 600.8742514479.

The spelling of 216945568 in words is "two hundred sixteen million, nine hundred forty-five thousand, five hundred sixty-eight".