814068313344 has 576 divisors, whose sum is σ = 2862570654720. Its totient is φ = 224945233920.

The previous prime is 814068313343. The next prime is 814068313361. The reversal of 814068313344 is 443313860418.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 814068313344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814068313343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82033567 + ... + 82043489.

It is an arithmetic number, because the mean of its divisors is an integer number (4969740720).

Almost surely, 2^814068313344 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 814068313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431285327360).

814068313344 is an abundant number, since it is smaller than the sum of its proper divisors (2048502341376).

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

814068313344 is a wasteful number, since it uses less digits than its factorization.

814068313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 814068313344 in words is "eight hundred fourteen billion, sixty-eight million, three hundred thirteen thousand, three hundred forty-four".