213816543046464 has 112 divisors (see below), whose sum is σ = 567438970784000. Its totient is φ = 71056056231936.

The previous prime is 213816543046453. The next prime is 213816543046501. The reversal of 213816543046464 is 464640345618312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404263017 + ... + 404791575.

It is an arithmetic number, because the mean of its divisors is an integer number (5066419382000).

Almost surely, 2^{213816543046464} is an apocalyptic number.

213816543046464 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 213816543046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283719485392000).

213816543046464 is an abundant number, since it is smaller than the sum of its proper divisors (353622427737536).

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

213816543046464 is a wasteful number, since it uses less digits than its factorization.

213816543046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534960 (or 534950 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 213816543046464 in words is "two hundred thirteen trillion, eight hundred sixteen billion, five hundred forty-three million, forty-six thousand, four hundred sixty-four".