998667686017 has 64 divisors (see below), whose sum is σ = 1115283340800. Its totient is φ = 890253213696.

The previous prime is 998667685993. The next prime is 998667686077. The reversal of 998667686017 is 710686766899.

It is a 3-Lehmer number, since φ(998667686017) divides (998667686017-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 998667686017 - 2⁷ = 998667685889 is a prime.

It is a deceptive number, since it divides R_998667686016.

It is not an unprimeable number, because it can be changed into a prime (998667686077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618585893 + ... + 1618586509.

It is an arithmetic number, because the mean of its divisors is an integer number (17426302200).

It is a Poulet number, since it divides 2^998667686016-1.

Almost surely, 2^998667686017 is an apocalyptic number.

It is an amenable number.

998667686017 is a deficient number, since it is larger than the sum of its proper divisors (116615654783).

998667686017 is a wasteful number, since it uses less digits than its factorization.

998667686017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 329204736, while the sum is 73.

The spelling of 998667686017 in words is "nine hundred ninety-eight billion, six hundred sixty-seven million, six hundred eighty-six thousand, seventeen".