217813551673968 has 30 divisors (see below), whose sum is σ = 609575425865744. Its totient is φ = 72604517224608.

The previous prime is 217813551673957. The next prime is 217813551673969. The reversal of 217813551673968 is 869376155318712.

217813551673968 is a `hidden beast` number, since 2 + 1 + 7 + 8 + 1 + 3 + 551 + 6 + 7 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 217813551673896 and 217813551673905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217813551673969) 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, 756297054280 + ... + 756297054567.

Almost surely, 2^{217813551673968} is an apocalyptic number.

It is an amenable number.

217813551673968 is an abundant number, since it is smaller than the sum of its proper divisors (391761874191776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217813551673968 is a wasteful number, since it uses less digits than its factorization.

217813551673968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512594108861 (or 1512594108852 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 217813551673968 in words is "two hundred seventeen trillion, eight hundred thirteen billion, five hundred fifty-one million, six hundred seventy-three thousand, nine hundred sixty-eight".