217653143930961 has 16 divisors (see below), whose sum is σ = 298392400912320. Its totient is φ = 141058225863360.

The previous prime is 217653143930951. The next prime is 217653143931037. The reversal of 217653143930961 is 169039341356712.

It is not a de Polignac number, because 217653143930961 - 2³⁰ = 217652070189137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217653143930895 and 217653143930904.

It is not an unprimeable number, because it can be changed into a prime (217653143930921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279284035 + ... + 6279318696.

It is an arithmetic number, because the mean of its divisors is an integer number (18649525057020).

Almost surely, 2^{217653143930961} is an apocalyptic number.

It is an amenable number.

217653143930961 is a deficient number, since it is larger than the sum of its proper divisors (80739256981359).

217653143930961 is a wasteful number, since it uses less digits than its factorization.

217653143930961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558602896.

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 217653143930961 in words is "two hundred seventeen trillion, six hundred fifty-three billion, one hundred forty-three million, nine hundred thirty thousand, nine hundred sixty-one".