85000105449 has 24 divisors (see below), whose sum is σ = 140364549312. Its totient is φ = 48555249120.

The previous prime is 85000105441. The next prime is 85000105469. The reversal of 85000105449 is 94450100058.

85000105449 is a `hidden beast` number, since 8 + 500 + 0 + 105 + 4 + 49 = 666.

It is not a de Polignac number, because 85000105449 - 2³ = 85000105441 is a prime.

It is a super-2 number, since 2×85000105449² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85000105441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34354 + ... + 413739.

It is an arithmetic number, because the mean of its divisors is an integer number (5848522888).

Almost surely, 2^85000105449 is an apocalyptic number.

It is an amenable number.

85000105449 is a deficient number, since it is larger than the sum of its proper divisors (55364443863).

85000105449 is a wasteful number, since it uses less digits than its factorization.

85000105449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451117 (or 451114 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 85000105449 in words is "eighty-five billion, one hundred five thousand, four hundred forty-nine".