213348843312 has 160 divisors (see below), whose sum is σ = 621113579520. Its totient is φ = 62519040000.

The previous prime is 213348843289. The next prime is 213348843353.

213348843312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26332062 + ... + 26340162.

It is an arithmetic number, because the mean of its divisors is an integer number (3881959872).

Almost surely, 2^213348843312 is an apocalyptic number.

213348843312 is a gapful number since it is divisible by the number (22) 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 213348843312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310556789760).

213348843312 is an abundant number, since it is smaller than the sum of its proper divisors (407764736208).

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

213348843312 is a wasteful number, since it uses less digits than its factorization.

213348843312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9757 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 213348843312 in words is "two hundred thirteen billion, three hundred forty-eight million, eight hundred forty-three thousand, three hundred twelve".