20562144731136 has 1344 divisors, whose sum is σ = 68011521177600. Its totient is φ = 6184283406336.

The previous prime is 20562144731129. The next prime is 20562144731143. The reversal of 20562144731136 is 63113744126502.

20562144731136 is a `hidden beast` number, since 2 + 0 + 5 + 62 + 1 + 4 + 473 + 113 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20562144731129) and next prime (20562144731143).

It is a junction number, because it is equal to n+sod(n) for n = 20562144731091 and 20562144731100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76439199610 + ... + 76439199878.

It is an arithmetic number, because the mean of its divisors is an integer number (50603810400).

Almost surely, 2^{20562144731136} 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 20562144731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34005760588800).

20562144731136 is an abundant number, since it is smaller than the sum of its proper divisors (47449376446464).

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

20562144731136 is an equidigital number, since it uses as much as digits as its factorization.

20562144731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 20562144731136 its reverse (63113744126502), we get a palindrome (83675888857638).

The spelling of 20562144731136 in words is "twenty trillion, five hundred sixty-two billion, one hundred forty-four million, seven hundred thirty-one thousand, one hundred thirty-six".