213812329916328 has 2048 divisors, whose sum is σ = 729615237120000. Its totient is φ = 51199871385600.

The previous prime is 213812329916303. The next prime is 213812329916377. The reversal of 213812329916328 is 823619923218312.

It is a Cunningham number, because it is equal to 14622323²-1.

213812329916328 is a nontrivial binomial coefficient, being equal to C(20679088, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 196699475001 + ... + 196699476087.

It is an arithmetic number, because the mean of its divisors is an integer number (356257440000).

Almost surely, 2^{213812329916328} is an apocalyptic number.

213812329916328 is the 20679087-th triangular number and also the 10339544-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213812329916328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364807618560000).

213812329916328 is an abundant number, since it is smaller than the sum of its proper divisors (515802907203672).

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

213812329916328 is a wasteful number, since it uses less digits than its factorization.

213812329916328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The spelling of 213812329916328 in words is "two hundred thirteen trillion, eight hundred twelve billion, three hundred twenty-nine million, nine hundred sixteen thousand, three hundred twenty-eight".