8048838105 has 256 divisors, whose sum is σ = 19415531520. Its totient is φ = 3060633600.

The previous prime is 8048838103. The next prime is 8048838131. The reversal of 8048838105 is 5018388408.

It is not a de Polignac number, because 8048838105 - 2¹ = 8048838103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8048838101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6537840 + ... + 6539070.

It is an arithmetic number, because the mean of its divisors is an integer number (75841920).

Almost surely, 2^8048838105 is an apocalyptic number.

8048838105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8048838105 is an abundant number, since it is smaller than the sum of its proper divisors (11366693415).

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

8048838105 is a wasteful number, since it uses less digits than its factorization.

8048838105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8048838105 is about 89715.3170032855. The cubic root of 8048838105 is about 2004.0615882503.

The spelling of 8048838105 in words is "eight billion, forty-eight million, eight hundred thirty-eight thousand, one hundred five".