20564146520064 has 432 divisors, whose sum is σ = 71467983175680. Its totient is φ = 5566192680960.

The previous prime is 20564146520051. The next prime is 20564146520147. The reversal of 20564146520064 is 46002564146502.

20564146520064 is a `hidden beast` number, since 2 + 0 + 5 + 64 + 1 + 4 + 6 + 520 + 0 + 64 = 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 23 ways as a sum of consecutive naturals, for example, 156827649 + ... + 156958719.

It is an arithmetic number, because the mean of its divisors is an integer number (165435146240).

Almost surely, 2^{20564146520064} is an apocalyptic number.

20564146520064 is a gapful number since it is divisible by the number (24) 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 20564146520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35733991587840).

20564146520064 is an abundant number, since it is smaller than the sum of its proper divisors (50903836655616).

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

20564146520064 is an equidigital number, since it uses as much as digits as its factorization.

20564146520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131137 (or 131102 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 20564146520064 in words is "twenty trillion, five hundred sixty-four billion, one hundred forty-six million, five hundred twenty thousand, sixty-four".