806005468449 has 16 divisors (see below), whose sum is σ = 1200143514240. Its totient is φ = 534609376560.

The previous prime is 806005468447. The next prime is 806005468469. The reversal of 806005468449 is 944864500608.

806005468449 is a `hidden beast` number, since 80 + 60 + 0 + 5 + 4 + 68 + 449 = 666.

It is not a de Polignac number, because 806005468449 - 2¹ = 806005468447 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 806005468395 and 806005468404.

It is not an unprimeable number, because it can be changed into a prime (806005468447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75761317 + ... + 75771954.

It is an arithmetic number, because the mean of its divisors is an integer number (75008969640).

Almost surely, 2^806005468449 is an apocalyptic number.

It is an amenable number.

806005468449 is a deficient number, since it is larger than the sum of its proper divisors (394138045791).

806005468449 is a wasteful number, since it uses less digits than its factorization.

806005468449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151533477 (or 151533471 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 806005468449 in words is "eight hundred six billion, five million, four hundred sixty-eight thousand, four hundred forty-nine".