61729017849 has 12 divisors (see below), whose sum is σ = 94409086356. Its totient is φ = 38731932672.

The previous prime is 61729017839. The next prime is 61729017851. The reversal of 61729017849 is 94871092716.

61729017849 is a `hidden beast` number, since 617 + 2 + 9 + 0 + 17 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52696416249 + 9032601600 = 229557^2 + 95040^2 .

It is not a de Polignac number, because 61729017849 - 2²⁷ = 61594800121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61729017795 and 61729017804.

It is not an unprimeable number, because it can be changed into a prime (61729017829) 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, 201728664 + ... + 201728969.

It is an arithmetic number, because the mean of its divisors is an integer number (7867423863).

Almost surely, 2^61729017849 is an apocalyptic number.

It is an amenable number.

61729017849 is a deficient number, since it is larger than the sum of its proper divisors (32680068507).

61729017849 is a wasteful number, since it uses less digits than its factorization.

61729017849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403457656 (or 403457653 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 61729017849 in words is "sixty-one billion, seven hundred twenty-nine million, seventeen thousand, eight hundred forty-nine".