20054615584644 has 405 divisors, whose sum is σ = 56912838165183. Its totient is φ = 6157183165056.

The previous prime is 20054615584613. The next prime is 20054615584649. The reversal of 20054615584644 is 44648551645002.

It is a happy number.

The square root of 20054615584644 is 4478238.

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

20054615584644 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 6 + 1 + 558 + 46 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92592404100 + 19962023180544 = 304290^2 + 4467888^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20054615584649) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 53765725242 + ... + 53765725614.

Almost surely, 2^{20054615584644} is an apocalyptic number.

20054615584644 is the 4478238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20054615584644

20054615584644 is an abundant number, since it is smaller than the sum of its proper divisors (36858222580539).

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

20054615584644 is an equidigital number, since it uses as much as digits as its factorization.

20054615584644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 20054615584644 in words is "twenty trillion, fifty-four billion, six hundred fifteen million, five hundred eighty-four thousand, six hundred forty-four".