83561627349 has 20 divisors (see below), whose sum is σ = 125032347264. Its totient is φ = 55615943304.

The previous prime is 83561627341. The next prime is 83561627363. The reversal of 83561627349 is 94372616538.

83561627349 is a `hidden beast` number, since 8 + 3 + 5 + 6 + 1 + 627 + 3 + 4 + 9 = 666.

It is not a de Polignac number, because 83561627349 - 2³ = 83561627341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83561627295 and 83561627304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561627341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 800607 + ... + 898940.

Almost surely, 2^83561627349 is an apocalyptic number.

It is an amenable number.

83561627349 is a deficient number, since it is larger than the sum of its proper divisors (41470719915).

83561627349 is a wasteful number, since it uses less digits than its factorization.

83561627349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700166 (or 1700157 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 83561627349 in words is "eighty-three billion, five hundred sixty-one million, six hundred twenty-seven thousand, three hundred forty-nine".