20218280481 has 135 divisors (see below), whose sum is σ = 36710530857. Its totient is φ = 11056772160.

The previous prime is 20218280443. The next prime is 20218280483. The reversal of 20218280481 is 18408281202.

The square root of 20218280481 is 142191.

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

20218280481 is a `hidden beast` number, since 2 + 0 + 21 + 82 + 80 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445421025 + 19772859456 = 21105^2 + 140616^2 .

It is not a de Polignac number, because 20218280481 - 2¹³ = 20218272289 is a prime.

It is a super-2 number, since 2×20218280481² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20218280483) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 331447191 + ... + 331447251.

Almost surely, 2^20218280481 is an apocalyptic number.

20218280481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20218280481 is the 142191-st square number.

20218280481 is the 71096-th centered octagonal number.

It is an amenable number.

20218280481 is a deficient number, since it is larger than the sum of its proper divisors (16492250376).

20218280481 is an frugal number, since it uses more digits than its factorization.

20218280481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Multiplying 20218280481 by its sum of digits (36), we get a square (727858097316 = 853146²).

Multiplying 20218280481 by its product of nonzero digits (16384), we get a square (331256307400704 = 18200448²).

The spelling of 20218280481 in words is "twenty billion, two hundred eighteen million, two hundred eighty thousand, four hundred eighty-one".