442323113265 has 96 divisors (see below), whose sum is σ = 851134407552. Its totient is φ = 210712320000.

The previous prime is 442323113257. The next prime is 442323113273. The reversal of 442323113265 is 562311323244.

442323113265 is a `hidden beast` number, since 4 + 4 + 2 + 323 + 1 + 1 + 326 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (442323113257) and next prime (442323113273).

It is not a de Polignac number, because 442323113265 - 2³ = 442323113257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6515577 + ... + 6583113.

It is an arithmetic number, because the mean of its divisors is an integer number (8865983412).

Almost surely, 2^442323113265 is an apocalyptic number.

442323113265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442323113265 is a deficient number, since it is larger than the sum of its proper divisors (408811294287).

442323113265 is a wasteful number, since it uses less digits than its factorization.

442323113265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67791 (or 67788 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 442323113265 in words is "four hundred forty-two billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred sixty-five".