8048137344 has 256 divisors, whose sum is σ = 24706684800. Its totient is φ = 2300313600.

The previous prime is 8048137343. The next prime is 8048137369. The reversal of 8048137344 is 4437318408.

It is a junction number, because it is equal to n+sod(n) for n = 8048137296 and 8048137305.

It is not an unprimeable number, because it can be changed into a prime (8048137343) 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 31 ways as a sum of consecutive naturals, for example, 5026144 + ... + 5027744.

Almost surely, 2^8048137344 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 8048137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353342400).

8048137344 is an abundant number, since it is smaller than the sum of its proper divisors (16658547456).

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

8048137344 is a wasteful number, since it uses less digits than its factorization.

8048137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 8048137344 is about 89711.4114480427. The cubic root of 8048137344 is about 2004.0034262753.

The spelling of 8048137344 in words is "eight billion, forty-eight million, one hundred thirty-seven thousand, three hundred forty-four".