442464665085 has 24 divisors (see below), whose sum is σ = 768214904184. Its totient is φ = 235588492800.

The previous prime is 442464665021. The next prime is 442464665087. The reversal of 442464665085 is 580566464244.

442464665085 is a `hidden beast` number, since 4 + 42 + 464 + 6 + 65 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158201880516 + 284262784569 = 397746^2 + 533163^2 .

It is not a de Polignac number, because 442464665085 - 2⁶ = 442464665021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442464665087) 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, 8153112 + ... + 8207201.

It is an arithmetic number, because the mean of its divisors is an integer number (32008954341).

Almost surely, 2^442464665085 is an apocalyptic number.

442464665085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442464665085 is a deficient number, since it is larger than the sum of its proper divisors (325750239099).

442464665085 is a wasteful number, since it uses less digits than its factorization.

442464665085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360925 (or 16360922 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 442464665085 in words is "four hundred forty-two billion, four hundred sixty-four million, six hundred sixty-five thousand, eighty-five".