213968584896 has 448 divisors, whose sum is σ = 670348541952. Its totient is φ = 59558400000.

The previous prime is 213968584813. The next prime is 213968585003. The reversal of 213968584896 is 698485869312.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 213968584896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227383786 + ... + 227384726.

Almost surely, 2^213968584896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213968584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335174270976).

213968584896 is an abundant number, since it is smaller than the sum of its proper divisors (456379957056).

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

213968584896 is a wasteful number, since it uses less digits than its factorization.

213968584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1162 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 213968584896 in words is "two hundred thirteen billion, nine hundred sixty-eight million, five hundred eighty-four thousand, eight hundred ninety-six".