42648851268 has 72 divisors (see below), whose sum is σ = 112105232512. Its totient is φ = 14177428704.

The previous prime is 42648851261. The next prime is 42648851279. The reversal of 42648851268 is 86215884624.

42648851268 is a `hidden beast` number, since 4 + 2 + 64 + 8 + 8 + 512 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42648851261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296946 + ... + 416502.

Almost surely, 2^42648851268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42648851268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56052616256).

42648851268 is an abundant number, since it is smaller than the sum of its proper divisors (69456381244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42648851268 is a wasteful number, since it uses less digits than its factorization.

42648851268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119943 (or 119929 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 42648851268 in words is "forty-two billion, six hundred forty-eight million, eight hundred fifty-one thousand, two hundred sixty-eight".