363144745314 has 128 divisors (see below), whose sum is σ = 874262108160. Its totient is φ = 111070440000.

The previous prime is 363144745307. The next prime is 363144745331. The reversal of 363144745314 is 413547441363.

It is a happy number.

363144745314 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 44 + 74 + 531 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 363144745314.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103428819 + ... + 103432329.

It is an arithmetic number, because the mean of its divisors is an integer number (6830172720).

Almost surely, 2^363144745314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363144745314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437131054080).

363144745314 is an abundant number, since it is smaller than the sum of its proper divisors (511117362846).

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

363144745314 is a wasteful number, since it uses less digits than its factorization.

363144745314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4367 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 363144745314 in words is "three hundred sixty-three billion, one hundred forty-four million, seven hundred forty-five thousand, three hundred fourteen".