341382439716864 has 1536 divisors, whose sum is σ = 1165758676992000. Its totient is φ = 86452438302720.

The previous prime is 341382439716847. The next prime is 341382439716869. The reversal of 341382439716864 is 468617934283143.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (341382439716869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433776924279 + ... + 433776925065.

It is an arithmetic number, because the mean of its divisors is an integer number (758957472000).

Almost surely, 2^{341382439716864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341382439716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582879338496000).

341382439716864 is an abundant number, since it is smaller than the sum of its proper divisors (824376237275136).

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

341382439716864 is a wasteful number, since it uses less digits than its factorization.

341382439716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1129 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 341382439716864 in words is "three hundred forty-one trillion, three hundred eighty-two billion, four hundred thirty-nine million, seven hundred sixteen thousand, eight hundred sixty-four".