213648846312 has 96 divisors (see below), whose sum is σ = 588512305440. Its totient is φ = 64100256000.

The previous prime is 213648846227. The next prime is 213648846319.

213648846312 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (213648846319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2653398 + ... + 2732730.

It is an arithmetic number, because the mean of its divisors is an integer number (6130336515).

Almost surely, 2^213648846312 is an apocalyptic number.

213648846312 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 213648846312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294256152720).

213648846312 is an abundant number, since it is smaller than the sum of its proper divisors (374863459128).

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

213648846312 is a wasteful number, since it uses less digits than its factorization.

213648846312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79555 (or 79450 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 213648846312 in words is "two hundred thirteen billion, six hundred forty-eight million, eight hundred forty-six thousand, three hundred twelve".