20874043091344 has 135 divisors (see below), whose sum is σ = 43137115032963. Its totient is φ = 9784421577216.

The previous prime is 20874043091303. The next prime is 20874043091381. The reversal of 20874043091344 is 44319034047802.

The square root of 20874043091344 is 4568812.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2129299660944 + 18744743430400 = 1459212^2 + 4329520^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 22277526844 + ... + 22277527780.

Almost surely, 2^{20874043091344} is an apocalyptic number.

20874043091344 is the 4568812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20874043091344

20874043091344 is an abundant number, since it is smaller than the sum of its proper divisors (22263071941619).

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

20874043091344 is an frugal number, since it uses more digits than its factorization.

20874043091344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 20874043091344 in words is "twenty trillion, eight hundred seventy-four billion, forty-three million, ninety-one thousand, three hundred forty-four".