20964603578944 has 189 divisors, whose sum is σ = 44706617972539. Its totient is φ = 9752290263040.

The previous prime is 20964603578923. The next prime is 20964603578957. The reversal of 20964603578944 is 44987530646902.

The square root of 20964603578944 is 4578712.

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 13989933857344 + 6974669721600 = 3740312^2 + 2640960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20964603578944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81574332864 + ... + 81574333120.

Almost surely, 2^{20964603578944} is an apocalyptic number.

20964603578944 is the 4578712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20964603578944

20964603578944 is an abundant number, since it is smaller than the sum of its proper divisors (23742014393595).

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

20964603578944 is an frugal number, since it uses more digits than its factorization.

20964603578944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 20964603578944 in words is "twenty trillion, nine hundred sixty-four billion, six hundred three million, five hundred seventy-eight thousand, nine hundred forty-four".