8142784848 has 200 divisors, whose sum is σ = 27223257600. Its totient is φ = 2322293760.

The previous prime is 8142784847. The next prime is 8142784939. The reversal of 8142784848 is 8484872418.

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

It is a junction number, because it is equal to n+sod(n) for n = 8142784794 and 8142784803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142784847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225553 + ... + 259151.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 2^8142784848 is an apocalyptic number.

8142784848 is a gapful number since it is divisible by the number (88) 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 8142784848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611628800).

8142784848 is an abundant number, since it is smaller than the sum of its proper divisors (19080472752).

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

8142784848 is a wasteful number, since it uses less digits than its factorization.

8142784848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33647 (or 33632 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 54.

The square root of 8142784848 is about 90237.3805470881. The cubic root of 8142784848 is about 2011.8286410402.

The spelling of 8142784848 in words is "eight billion, one hundred forty-two million, seven hundred eighty-four thousand, eight hundred forty-eight".