213841609016448 has 256 divisors, whose sum is σ = 651941024544000. Its totient is φ = 60836305305600.

The previous prime is 213841609016411. The next prime is 213841609016491. The reversal of 213841609016448 is 844610906148312.

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, 1302170568 + ... + 1302334776.

It is an arithmetic number, because the mean of its divisors is an integer number (2546644627125).

Almost surely, 2^{213841609016448} is an apocalyptic number.

213841609016448 is a gapful number since it is divisible by the number (28) 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 213841609016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325970512272000).

213841609016448 is an abundant number, since it is smaller than the sum of its proper divisors (438099415527552).

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

213841609016448 is a wasteful number, since it uses less digits than its factorization.

213841609016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166303 (or 166291 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 213841609016448 in words is "two hundred thirteen trillion, eight hundred forty-one billion, six hundred nine million, sixteen thousand, four hundred forty-eight".