8264842048 has 84 divisors (see below), whose sum is σ = 17266684288. Its totient is φ = 3921016320.

The previous prime is 8264842039. The next prime is 8264842073. The reversal of 8264842048 is 8402484628.

It is a super-2 number, since 2×8264842048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8264841989 and 8264842007.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5572315 + ... + 5573797.

Almost surely, 2^8264842048 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 8264842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633342144).

8264842048 is an abundant number, since it is smaller than the sum of its proper divisors (9001842240).

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

8264842048 is a wasteful number, since it uses less digits than its factorization.

8264842048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The square root of 8264842048 is about 90911.1766946177. The cubic root of 8264842048 is about 2021.8310071874.

The spelling of 8264842048 in words is "eight billion, two hundred sixty-four million, eight hundred forty-two thousand, forty-eight".