20874655316641 has 45 divisors (see below), whose sum is σ = 24931550201091. Its totient is φ = 17426947241088.

The previous prime is 20874655316597. The next prime is 20874655316653. The reversal of 20874655316641 is 14661355647802.

The square root of 20874655316641 is 4568879.

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., 8480763230625 + 12393892086016 = 2912175^2 + 3520496^2 .

It is not a de Polignac number, because 20874655316641 - 2¹⁷ = 20874655185569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20874656316641) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59135000721 + ... + 59135001073.

Almost surely, 2^{20874655316641} is an apocalyptic number.

20874655316641 is the 4568879-th square number.

20874655316641 is the 2284440-th centered octagonal number.

It is an amenable number.

20874655316641 is a deficient number, since it is larger than the sum of its proper divisors (4056894884450).

20874655316641 is an frugal number, since it uses more digits than its factorization.

20874655316641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 20874655316641 in words is "twenty trillion, eight hundred seventy-four billion, six hundred fifty-five million, three hundred sixteen thousand, six hundred forty-one".