8205137285949 has 12 divisors (see below), whose sum is σ = 12260549967900. Its totient is φ = 5281467678144.

The previous prime is 8205137285921. The next prime is 8205137285951. The reversal of 8205137285949 is 9495827315028.

8205137285949 is a `hidden beast` number, since 8 + 2 + 0 + 5 + 1 + 37 + 2 + 8 + 594 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5944053669849 + 2261083616100 = 2438043^2 + 1503690^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8205137285949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205137285909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15718653544 + ... + 15718654065.

It is an arithmetic number, because the mean of its divisors is an integer number (1021712497325).

Almost surely, 2^{8205137285949} is an apocalyptic number.

It is an amenable number.

8205137285949 is a deficient number, since it is larger than the sum of its proper divisors (4055412681951).

8205137285949 is a wasteful number, since it uses less digits than its factorization.

8205137285949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31437307644 (or 31437307641 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 8205137285949 in words is "eight trillion, two hundred five billion, one hundred thirty-seven million, two hundred eighty-five thousand, nine hundred forty-nine".