20653138944 has 165 divisors, whose sum is σ = 61798154187. Its totient is φ = 6870583296.

The previous prime is 20653138939. The next prime is 20653138963. The reversal of 20653138944 is 44983135602.

The square root of 20653138944 is 143712.

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

20653138944 is a `hidden beast` number, since 20 + 6 + 531 + 3 + 8 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20653138944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41388807 + ... + 41389305.

Almost surely, 2^20653138944 is an apocalyptic number.

20653138944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20653138944 is the 143712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20653138944

20653138944 is an abundant number, since it is smaller than the sum of its proper divisors (41145015243).

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

20653138944 is an frugal number, since it uses more digits than its factorization.

20653138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20653138944 in words is "twenty billion, six hundred fifty-three million, one hundred thirty-eight thousand, nine hundred forty-four".