213789222864 has 240 divisors, whose sum is σ = 707058586624. Its totient is φ = 59010508800.

The previous prime is 213789222797. The next prime is 213789222923. The reversal of 213789222864 is 468222987312.

213789222864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213789222864.

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 47 ways as a sum of consecutive naturals, for example, 19149444 + ... + 19160604.

Almost surely, 2^213789222864 is an apocalyptic number.

213789222864 is a gapful number since it is divisible by the number (24) 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 213789222864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353529293312).

213789222864 is an abundant number, since it is smaller than the sum of its proper divisors (493269363760).

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

213789222864 is a wasteful number, since it uses less digits than its factorization.

213789222864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11817 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 213789222864 in words is "two hundred thirteen billion, seven hundred eighty-nine million, two hundred twenty-two thousand, eight hundred sixty-four".