61644684134709 has 48 divisors (see below), whose sum is σ = 101852713518192. Its totient is φ = 35591078098944.

The previous prime is 61644684134707. The next prime is 61644684134741. The reversal of 61644684134709 is 90743148644616.

61644684134709 is a `hidden beast` number, since 6 + 1 + 64 + 4 + 68 + 41 + 3 + 470 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23299175994084 + 38345508140625 = 4826922^2 + 6192375^2 .

It is not a de Polignac number, because 61644684134709 - 2¹ = 61644684134707 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61644684134707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48254034 + ... + 49515059.

It is an arithmetic number, because the mean of its divisors is an integer number (2121931531629).

Almost surely, 2^{61644684134709} is an apocalyptic number.

It is an amenable number.

61644684134709 is a deficient number, since it is larger than the sum of its proper divisors (40208029383483).

61644684134709 is a wasteful number, since it uses less digits than its factorization.

61644684134709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97769446 (or 97769443 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 61644684134709 in words is "sixty-one trillion, six hundred forty-four billion, six hundred eighty-four million, one hundred thirty-four thousand, seven hundred nine".