4805834822208 has 448 divisors, whose sum is σ = 16952139141120. Its totient is φ = 1305325891584.

The previous prime is 4805834822203. The next prime is 4805834822237. The reversal of 4805834822208 is 8022284385084.

4805834822208 is a `hidden beast` number, since 4 + 80 + 5 + 83 + 482 + 2 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (4805834822203) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 45294916 + ... + 45400892.

Almost surely, 2^{4805834822208} is an apocalyptic number.

4805834822208 is a gapful number since it is divisible by the number (48) 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 4805834822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476069570560).

4805834822208 is an abundant number, since it is smaller than the sum of its proper divisors (12146304318912).

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

4805834822208 is a wasteful number, since it uses less digits than its factorization.

4805834822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106191 (or 106175 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 4805834822208 in words is "four trillion, eight hundred five billion, eight hundred thirty-four million, eight hundred twenty-two thousand, two hundred eight".