20812126844961 has 27 divisors (see below), whose sum is σ = 30209301639153. Its totient is φ = 13807078062120.

The previous prime is 20812126844923. The next prime is 20812126844987. The reversal of 20812126844961 is 16944862121802.

The square root of 20812126844961 is 4562031.

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

20812126844961 is a `hidden beast` number, since 2 + 0 + 8 + 12 + 126 + 8 + 449 + 61 = 666.

It is not a de Polignac number, because 20812126844961 - 2²⁷ = 20811992627233 is a prime.

It is a super-3 number, since 3×20812126844961³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20812126844898 and 20812126844907.

It is not an unprimeable number, because it can be changed into a prime (20812126843961) 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, 2887762020 + ... + 2887769226.

Almost surely, 2^{20812126844961} is an apocalyptic number.

20812126844961 is the 4562031-st square number.

20812126844961 is the 2281016-th centered octagonal number.

It is an amenable number.

20812126844961 is a deficient number, since it is larger than the sum of its proper divisors (9397174794192).

20812126844961 is an frugal number, since it uses more digits than its factorization.

20812126844961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20812126844961 in words is "twenty trillion, eight hundred twelve billion, one hundred twenty-six million, eight hundred forty-four thousand, nine hundred sixty-one".