1205686817345 has 8 divisors (see below), whose sum is σ = 1482112575720. Its totient is φ = 941023857280.

The previous prime is 1205686817273. The next prime is 1205686817369. The reversal of 1205686817345 is 5437186865021.

It can be written as a sum of positive squares in 4 ways, for example, as 1397862544 + 1204288954801 = 37388^2 + 1097401^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1205686817345 - 2¹⁴ = 1205686800961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940699350 + ... + 2940699759.

It is an arithmetic number, because the mean of its divisors is an integer number (185264071965).

Almost surely, 2^{1205686817345} is an apocalyptic number.

It is an amenable number.

1205686817345 is a deficient number, since it is larger than the sum of its proper divisors (276425758375).

1205686817345 is an equidigital number, since it uses as much as digits as its factorization.

1205686817345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881399155.

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 1205686817345 in words is "one trillion, two hundred five billion, six hundred eighty-six million, eight hundred seventeen thousand, three hundred forty-five".