213288796224 has 189 divisors, whose sum is σ = 711425487357. Its totient is φ = 60917488128.

The previous prime is 213288796211. The next prime is 213288796249. The reversal of 213288796224 is 422697882312.

The square root of 213288796224 is 461832.

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

213288796224 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 8 + 8 + 7 + 9 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25418562624 + 187870233600 = 159432^2 + 433440^2 .

It is a super-2 number, since 2×213288796224² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 77586402 + ... + 77589150.

Almost surely, 2^213288796224 is an apocalyptic number.

213288796224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

213288796224 is the 461832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213288796224

213288796224 is an abundant number, since it is smaller than the sum of its proper divisors (498136691133).

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

213288796224 is an frugal number, since it uses more digits than its factorization.

213288796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 2761 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 213288796224 in words is "two hundred thirteen billion, two hundred eighty-eight million, seven hundred ninety-six thousand, two hundred twenty-four".