20772738674944 has 27 divisors (see below), whose sum is σ = 41464479401877. Its totient is φ = 10386332875776.

The previous prime is 20772738674939. The next prime is 20772738675023. The reversal of 20772738674944 is 44947683727702.

The square root of 20772738674944 is 4557712.

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

It can be written as a sum of positive squares in only one way, i.e., 12070899462400 + 8701839212544 = 3474320^2 + 2949888^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 72780964 + ... + 73065820.

Almost surely, 2^{20772738674944} is an apocalyptic number.

20772738674944 is the 4557712-nd square number.

It is an amenable number.

20772738674944 is a deficient number, since it is larger than the sum of its proper divisors (20691740726933).

20772738674944 is an frugal number, since it uses more digits than its factorization.

20772738674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569730 (or 284859 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 70.

The spelling of 20772738674944 in words is "twenty trillion, seven hundred seventy-two billion, seven hundred thirty-eight million, six hundred seventy-four thousand, nine hundred forty-four".