20738592081 has 15 divisors (see below), whose sum is σ = 30981808363. Its totient is φ = 13824864000.

The previous prime is 20738592029. The next prime is 20738592103. The reversal of 20738592081 is 18029583702.

It is a happy number.

The square root of 20738592081 is 144009.

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

20738592081 is a `hidden beast` number, since 20 + 7 + 38 + 592 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17624952081 + 3113640000 = 132759^2 + 55800^2 .

It is not a de Polignac number, because 20738592081 - 2¹⁵ = 20738559313 is a prime.

It is a super-3 number, since 3×20738592081³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20738592001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1288081 + ... + 1304081.

Almost surely, 2^20738592081 is an apocalyptic number.

20738592081 is the 144009-th square number.

20738592081 is the 72005-th centered octagonal number.

It is an amenable number.

20738592081 is a deficient number, since it is larger than the sum of its proper divisors (10243216282).

20738592081 is an frugal number, since it uses more digits than its factorization.

20738592081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32014 (or 16004 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 20738592081 in words is "twenty billion, seven hundred thirty-eight million, five hundred ninety-two thousand, eighty-one".