1683667000017 has 6 divisors (see below), whose sum is σ = 2431963444482. Its totient is φ = 1122444666672.

The previous prime is 1683667000007. The next prime is 1683667000073. The reversal of 1683667000017 is 7100007663861.

It can be written as a sum of positive squares in only one way, i.e., 1452497398416 + 231169601601 = 1205196^2 + 480801^2 .

It is not a de Polignac number, because 1683667000017 - 2³⁵ = 1649307261649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1683667000007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93537055548 + ... + 93537055565.

It is an arithmetic number, because the mean of its divisors is an integer number (405327240747).

Almost surely, 2^{1683667000017} is an apocalyptic number.

It is an amenable number.

1683667000017 is a deficient number, since it is larger than the sum of its proper divisors (748296444465).

1683667000017 is a wasteful number, since it uses less digits than its factorization.

1683667000017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187074111119 (or 187074111116 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1683667000017 in words is "one trillion, six hundred eighty-three billion, six hundred sixty-seven million, seventeen", and thus it is an aban number.