20010082849 has 27 divisors (see below), whose sum is σ = 21803889387. Its totient is φ = 18359986944.

The previous prime is 20010082843. The next prime is 20010082871. The reversal of 20010082849 is 94828001002.

The square root of 20010082849 is 141457.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4176390625 + 15833692224 = 64625^2 + 125832^2 .

It is not a de Polignac number, because 20010082849 - 2⁵ = 20010082817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20010082843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127452679 + ... + 127452835.

Almost surely, 2^20010082849 is an apocalyptic number.

20010082849 is the 141457-th square number.

20010082849 is the 70729-th centered octagonal number.

It is an amenable number.

20010082849 is a deficient number, since it is larger than the sum of its proper divisors (1793806538).

20010082849 is an frugal number, since it uses more digits than its factorization.

20010082849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Multiplying 20010082849 by its product of nonzero digits (9216), we get a square (184412923536384 = 13579872²).

The spelling of 20010082849 in words is "twenty billion, ten million, eighty-two thousand, eight hundred forty-nine".