217468332225 has 135 divisors (see below), whose sum is σ = 414130801689. Its totient is φ = 112815763200.

The previous prime is 217468332199. The next prime is 217468332253. The reversal of 217468332225 is 522233864712.

The square root of 217468332225 is 466335.

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

217468332225 is a `hidden beast` number, since 21 + 74 + 6 + 8 + 332 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3236358321 + 214231973904 = 56889^2 + 462852^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 217468332225 - 2¹⁵ = 217468299457 is a prime.

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

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 902358105 + ... + 902358345.

Almost surely, 2^217468332225 is an apocalyptic number.

217468332225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

217468332225 is the 466335-th square number.

217468332225 is the 233168-th centered octagonal number.

It is an amenable number.

217468332225 is a deficient number, since it is larger than the sum of its proper divisors (196662469464).

217468332225 is an frugal number, since it uses more digits than its factorization.

217468332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 292 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 217468332225 in words is "two hundred seventeen billion, four hundred sixty-eight million, three hundred thirty-two thousand, two hundred twenty-five".