20321339624208 has 80 divisors (see below), whose sum is σ = 66662595602560. Its totient is φ = 5806097034624.

The previous prime is 20321339624189. The next prime is 20321339624221. The reversal of 20321339624208 is 80242693312302.

20321339624208 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 13 + 3 + 9 + 624 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×20321339624208³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3360006835 + ... + 3360012882.

It is an arithmetic number, because the mean of its divisors is an integer number (833282445032).

Almost surely, 2^{20321339624208} is an apocalyptic number.

20321339624208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20321339624208 is an abundant number, since it is smaller than the sum of its proper divisors (46341255978352).

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

20321339624208 is a wasteful number, since it uses less digits than its factorization.

20321339624208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720019741 (or 6720019729 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20321339624208 in words is "twenty trillion, three hundred twenty-one billion, three hundred thirty-nine million, six hundred twenty-four thousand, two hundred eight".