217982345952 has 96 divisors (see below), whose sum is σ = 654021430272. Its totient is φ = 62273585664.

The previous prime is 217982345899. The next prime is 217982345983. The reversal of 217982345952 is 259543289712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 217982345892 and 217982345901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9697158 + ... + 9719610.

It is an arithmetic number, because the mean of its divisors is an integer number (6812723232).

Almost surely, 2^217982345952 is an apocalyptic number.

It is an amenable number.

217982345952 is an abundant number, since it is smaller than the sum of its proper divisors (436039084320).

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

217982345952 is a wasteful number, since it uses less digits than its factorization.

217982345952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36920 (or 36912 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 217982345952 in words is "two hundred seventeen billion, nine hundred eighty-two million, three hundred forty-five thousand, nine hundred fifty-two".