216800469225 has 36 divisors (see below), whose sum is σ = 388816387596. Its totient is φ = 115477242240.

The previous prime is 216800469181. The next prime is 216800469229. The reversal of 216800469225 is 522964008612.

216800469225 is a `hidden beast` number, since 2 + 168 + 0 + 0 + 469 + 2 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 72841691664 + 143958777561 = 269892^2 + 379419^2 .

It is not a de Polignac number, because 216800469225 - 2⁷ = 216800469097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216800469229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449334 + ... + 797183.

It is an arithmetic number, because the mean of its divisors is an integer number (10800455211).

Almost surely, 2^216800469225 is an apocalyptic number.

216800469225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216800469225 is a deficient number, since it is larger than the sum of its proper divisors (172015918371).

216800469225 is a wasteful number, since it uses less digits than its factorization.

216800469225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247306 (or 1247298 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 216800469225 in words is "two hundred sixteen billion, eight hundred million, four hundred sixty-nine thousand, two hundred twenty-five".