3661116061005 has 72 divisors (see below), whose sum is σ = 6873011676648. Its totient is φ = 1802034044928.

The previous prime is 3661116060991. The next prime is 3661116061039. The reversal of 3661116061005 is 5001606111663.

3661116061005 is a `hidden beast` number, since 36 + 6 + 1 + 1 + 1 + 6 + 0 + 610 + 0 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2098088516484 + 1563027544521 = 1448478^2 + 1250211^2 .

It is not a de Polignac number, because 3661116061005 - 2⁹ = 3661116060493 is a prime.

It is a super-2 number, since 2×3661116061005² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40055517 + ... + 40146813.

It is an arithmetic number, because the mean of its divisors is an integer number (95458495509).

Almost surely, 2^{3661116061005} is an apocalyptic number.

It is an amenable number.

3661116061005 is a deficient number, since it is larger than the sum of its proper divisors (3211895615643).

3661116061005 is a wasteful number, since it uses less digits than its factorization.

3661116061005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96607 (or 96591 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 3661116061005 in words is "three trillion, six hundred sixty-one billion, one hundred sixteen million, sixty-one thousand, five".