4367828304225 has 189 divisors, whose sum is σ = 8253183224923. Its totient is φ = 2292040074240.

The previous prime is 4367828304181. The next prime is 4367828304251. The reversal of 4367828304225 is 5224038287634.

The square root of 4367828304225 is 2089935.

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

4367828304225 is a `hidden beast` number, since 4 + 3 + 67 + 82 + 83 + 0 + 422 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4340559726801 + 27268577424 = 2083401^2 + 165132^2 .

It is not a de Polignac number, because 4367828304225 - 2¹³ = 4367828296033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 31881958357 + ... + 31881958493.

Almost surely, 2^{4367828304225} is an apocalyptic number.

4367828304225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4367828304225 is the 2089935-th square number.

4367828304225 is the 1044968-th centered octagonal number.

It is an amenable number.

4367828304225 is a deficient number, since it is larger than the sum of its proper divisors (3885354920698).

4367828304225 is an frugal number, since it uses more digits than its factorization.

4367828304225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4367828304225 in words is "four trillion, three hundred sixty-seven billion, eight hundred twenty-eight million, three hundred four thousand, two hundred twenty-five".