217296420676713 has 96 divisors (see below), whose sum is σ = 394230798144000. Its totient is φ = 117621535358880.

The previous prime is 217296420676681. The next prime is 217296420676763. The reversal of 217296420676713 is 317676024692712.

217296420676713 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 96 + 420 + 67 + 67 + 1 + 3 = 666.

It is not a de Polignac number, because 217296420676713 - 2⁵ = 217296420676681 is a prime.

It is a super-2 number, since 2×217296420676713² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (217296420676763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236306518 + ... + 237224288.

It is an arithmetic number, because the mean of its divisors is an integer number (4106570814000).

Almost surely, 2^{217296420676713} is an apocalyptic number.

It is an amenable number.

217296420676713 is a deficient number, since it is larger than the sum of its proper divisors (176934377467287).

217296420676713 is a wasteful number, since it uses less digits than its factorization.

217296420676713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927232 (or 927219 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 217296420676713 in words is "two hundred seventeen trillion, two hundred ninety-six billion, four hundred twenty million, six hundred seventy-six thousand, seven hundred thirteen".