213283276668 has 324 divisors, whose sum is σ = 691416311040. Its totient is φ = 55232432640.

The previous prime is 213283276639. The next prime is 213283276673. The reversal of 213283276668 is 866672382312.

213283276668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213283276668³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81747748 + ... + 81750356.

It is an arithmetic number, because the mean of its divisors is an integer number (2134000960).

Almost surely, 2^213283276668 is an apocalyptic number.

213283276668 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 213283276668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345708155520).

213283276668 is an abundant number, since it is smaller than the sum of its proper divisors (478133034372).

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

213283276668 is a wasteful number, since it uses less digits than its factorization.

213283276668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3015 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 213283276668 in words is "two hundred thirteen billion, two hundred eighty-three million, two hundred seventy-six thousand, six hundred sixty-eight".