213217982208 has 648 divisors, whose sum is σ = 809162040960. Its totient is φ = 55372584960.

The previous prime is 213217982203. The next prime is 213217982213. The reversal of 213217982208 is 802289712312.

It is an interprime number because it is at equal distance from previous prime (213217982203) and next prime (213217982213).

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213217982203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33526933 + ... + 33533291.

Almost surely, 2^213217982208 is an apocalyptic number.

213217982208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213217982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404581020480).

213217982208 is an abundant number, since it is smaller than the sum of its proper divisors (595944058752).

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

213217982208 is an equidigital number, since it uses as much as digits as its factorization.

213217982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 213217982208 in words is "two hundred thirteen billion, two hundred seventeen million, nine hundred eighty-two thousand, two hundred eight".