20834643456 has 480 divisors, whose sum is σ = 68533470720. Its totient is φ = 6088642560.

The previous prime is 20834643433. The next prime is 20834643481. The reversal of 20834643456 is 65434643802.

20834643456 is a `hidden beast` number, since 208 + 3 + 4 + 6 + 434 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 263729625 + ... + 263729703.

It is an arithmetic number, because the mean of its divisors is an integer number (142778064).

Almost surely, 2^20834643456 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 20834643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34266735360).

20834643456 is an abundant number, since it is smaller than the sum of its proper divisors (47698827264).

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

20834643456 is an equidigital number, since it uses as much as digits as its factorization.

20834643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 20834643456 in words is "twenty billion, eight hundred thirty-four million, six hundred forty-three thousand, four hundred fifty-six".