80105614848 has 960 divisors, whose sum is σ = 297420963840. Its totient is φ = 21015355392.

The previous prime is 80105614843. The next prime is 80105614873. The reversal of 80105614848 is 84841650108.

80105614848 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 561 + 4 + 84 + 8 = 666.

It is a super-2 number, since 2×80105614848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80105614843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777724365 + ... + 777724467.

It is an arithmetic number, because the mean of its divisors is an integer number (309813504).

Almost surely, 2^80105614848 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 80105614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148710481920).

80105614848 is an abundant number, since it is smaller than the sum of its proper divisors (217315348992).

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

80105614848 is a wasteful number, since it uses less digits than its factorization.

80105614848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

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

The spelling of 80105614848 in words is "eighty billion, one hundred five million, six hundred fourteen thousand, eight hundred forty-eight".