42848466484824 has 1536 divisors, whose sum is σ = 168658971586560. Its totient is φ = 9465071616000.

The previous prime is 42848466484799. The next prime is 42848466484829.

42848466484824 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 8 + 4 + 66 + 484 + 82 + 4 = 666.

42848466484824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42848466484829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6194657014 + ... + 6194663930.

It is an arithmetic number, because the mean of its divisors is an integer number (109804017960).

Almost surely, 2^{42848466484824} is an apocalyptic number.

42848466484824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42848466484824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84329485793280).

42848466484824 is an abundant number, since it is smaller than the sum of its proper divisors (125810505101736).

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

42848466484824 is a wasteful number, since it uses less digits than its factorization.

42848466484824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7114 counting only the distinct ones).

The product of its digits is 2415919104, while the sum is 72.

The spelling of 42848466484824 in words is "forty-two trillion, eight hundred forty-eight billion, four hundred sixty-six million, four hundred eighty-four thousand, eight hundred twenty-four".