217981982162016 has 144 divisors (see below), whose sum is σ = 673560624522240. Its totient is φ = 66615885838080.

The previous prime is 217981982162003. The next prime is 217981982162017. The reversal of 217981982162016 is 610261289189712.

217981982162016 is a `hidden beast` number, since 21 + 7 + 9 + 8 + 198 + 216 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×217981982162016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217981982162017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642344700 + ... + 642683963.

It is an arithmetic number, because the mean of its divisors is an integer number (4677504336960).

Almost surely, 2^{217981982162016} is an apocalyptic number.

It is an amenable number.

217981982162016 is an abundant number, since it is smaller than the sum of its proper divisors (455578642360224).

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

217981982162016 is a wasteful number, since it uses less digits than its factorization.

217981982162016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285028729 (or 1285028718 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 217981982162016 in words is "two hundred seventeen trillion, nine hundred eighty-one billion, nine hundred eighty-two million, one hundred sixty-two thousand, sixteen".