216258481296 has 405 divisors, whose sum is σ = 723022584921. Its totient is φ = 60268665600.

The previous prime is 216258481291. The next prime is 216258481297. The reversal of 216258481296 is 692184852612.

The square root of 216258481296 is 465036.

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

216258481296 is a `hidden beast` number, since 2 + 1 + 625 + 8 + 4 + 8 + 1 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31990899600 + 184267581696 = 178860^2 + 429264^2 .

It is not an unprimeable number, because it can be changed into a prime (216258481291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 798001641 + ... + 798001911.

Almost surely, 2^216258481296 is an apocalyptic number.

216258481296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

216258481296 is the 465036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216258481296

216258481296 is an abundant number, since it is smaller than the sum of its proper divisors (506764103625).

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

216258481296 is a wasteful number, since it uses less digits than its factorization.

216258481296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 300 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 216258481296 in words is "two hundred sixteen billion, two hundred fifty-eight million, four hundred eighty-one thousand, two hundred ninety-six".