17661661846085 has 16 divisors (see below), whose sum is σ = 21205223902512. Its totient is φ = 14121844531200.

The previous prime is 17661661846063. The next prime is 17661661846097. The reversal of 17661661846085 is 58064816616671.

It is a Cunningham number, because it is equal to 4202578²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1218036700609 + 16443625145476 = 1103647^2 + 4055074^2 .

It is not a de Polignac number, because 17661661846085 - 2¹⁴ = 17661661829701 is a prime.

It is a super-2 number, since 2×17661661846085² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98746457 + ... + 98925153.

It is an arithmetic number, because the mean of its divisors is an integer number (1325326493907).

Almost surely, 2^{17661661846085} is an apocalyptic number.

It is an amenable number.

17661661846085 is a deficient number, since it is larger than the sum of its proper divisors (3543562056427).

17661661846085 is a wasteful number, since it uses less digits than its factorization.

17661661846085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189064.

The product of its (nonzero) digits is 69672960, while the sum is 65.

The spelling of 17661661846085 in words is "seventeen trillion, six hundred sixty-one billion, six hundred sixty-one million, eight hundred forty-six thousand, eighty-five".