216017496657 has 12 divisors (see below), whose sum is σ = 317140442164. Its totient is φ = 141650817120.

The previous prime is 216017496641. The next prime is 216017496661. The reversal of 216017496657 is 756694710612.

216017496657 is a `hidden beast` number, since 21 + 60 + 17 + 496 + 65 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10623631041 + 205393865616 = 103071^2 + 453204^2 .

It is not a de Polignac number, because 216017496657 - 2⁴ = 216017496641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216017496637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196736698 + ... + 196737795.

Almost surely, 2^216017496657 is an apocalyptic number.

It is an amenable number.

216017496657 is a deficient number, since it is larger than the sum of its proper divisors (101122945507).

216017496657 is a wasteful number, since it uses less digits than its factorization.

216017496657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393474560 (or 393474557 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 216017496657 in words is "two hundred sixteen billion, seventeen million, four hundred ninety-six thousand, six hundred fifty-seven".