20385842841 has 81 divisors (see below), whose sum is σ = 37162408959. Its totient is φ = 10732411872.

The previous prime is 20385842831. The next prime is 20385842863. The reversal of 20385842841 is 14824858302.

The square root of 20385842841 is 142779.

It is a perfect power (a square), and thus also a powerful number.

20385842841 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 584 + 28 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3015657225 + 17370185616 = 54915^2 + 131796^2 .

It is not a de Polignac number, because 20385842841 - 2⁵ = 20385842809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20385842831) 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 80 ways as a sum of consecutive naturals, for example, 38978406 + ... + 38978928.

Almost surely, 2^20385842841 is an apocalyptic number.

20385842841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20385842841 is the 142779-th square number.

20385842841 is the 71390-th centered octagonal number.

It is an amenable number.

20385842841 is a deficient number, since it is larger than the sum of its proper divisors (16776566118).

20385842841 is an equidigital number, since it uses as much as digits as its factorization.

20385842841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 20385842841 in words is "twenty billion, three hundred eighty-five million, eight hundred forty-two thousand, eight hundred forty-one".