20584214784 has 405 divisors, whose sum is σ = 70390443669. Its totient is φ = 5784791040.

The previous prime is 20584214743. The next prime is 20584214801. The reversal of 20584214784 is 48741248502.

The square root of 20584214784 is 143472.

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

20584214784 is a `hidden beast` number, since 2 + 0 + 584 + 21 + 47 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 669360384 + 19914854400 = 25872^2 + 141120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 337446114 + ... + 337446174.

Almost surely, 2^20584214784 is an apocalyptic number.

20584214784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20584214784 is the 143472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20584214784

20584214784 is an abundant number, since it is smaller than the sum of its proper divisors (49806228885).

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

20584214784 is an frugal number, since it uses more digits than its factorization.

20584214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 20584214784 in words is "twenty billion, five hundred eighty-four million, two hundred fourteen thousand, seven hundred eighty-four".