20737886808769 has 27 divisors (see below), whose sum is σ = 22617160155849. Its totient is φ = 19006102783200.

The previous prime is 20737886808757. The next prime is 20737886808797. The reversal of 20737886808769 is 96780868873702.

The square root of 20737886808769 is 4553887.

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 11223672530625 + 9514214278144 = 3350175^2 + 3084512^2 .

It is not a de Polignac number, because 20737886808769 - 2⁷ = 20737886808641 is a prime.

It is a super-2 number, since 2×20737886808769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20737886808469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8820877944 + ... + 8820880294.

Almost surely, 2^{20737886808769} is an apocalyptic number.

20737886808769 is the 4553887-th square number.

20737886808769 is the 2276944-th centered octagonal number.

It is an amenable number.

20737886808769 is a deficient number, since it is larger than the sum of its proper divisors (1879273347080).

20737886808769 is an frugal number, since it uses more digits than its factorization.

20737886808769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 79.

The spelling of 20737886808769 in words is "twenty trillion, seven hundred thirty-seven billion, eight hundred eighty-six million, eight hundred eight thousand, seven hundred sixty-nine".