42848586001 has 9 divisors (see below), whose sum is σ = 46401087099. Its totient is φ = 39550056936.

The previous prime is 42848585999. The next prime is 42848586013. The reversal of 42848586001 is 10068584824.

The square root of 42848586001 is 206999.

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

It can be written as a sum of positive squares in only one way, i.e., 6338548225 + 36510037776 = 79615^2 + 191076^2 .

It is not a de Polignac number, because 42848586001 - 2¹ = 42848585999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42848586091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2683026 + ... + 2698948.

Almost surely, 2^42848586001 is an apocalyptic number.

42848586001 is the 206999-th square number.

42848586001 is the 103500-th centered octagonal number.

It is an amenable number.

42848586001 is a deficient number, since it is larger than the sum of its proper divisors (3552501098).

42848586001 is an frugal number, since it uses more digits than its factorization.

42848586001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31872 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

It can be divided in two parts, 42848 and 586001, that added together give a square (628849 = 793²).

The spelling of 42848586001 in words is "forty-two billion, eight hundred forty-eight million, five hundred eighty-six thousand, one".