314014423121344 has 84 divisors (see below), whose sum is σ = 699492389716512. Its totient is φ = 139696938557440.

The previous prime is 314014423121341. The next prime is 314014423121363. The reversal of 314014423121344 is 443121324410413.

It is a super-2 number, since 2×314014423121344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314014423121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431012449 + ... + 431740384.

It is an arithmetic number, because the mean of its divisors is an integer number (8327290353768).

Almost surely, 2^{314014423121344} is an apocalyptic number.

It is an amenable number.

314014423121344 is an abundant number, since it is smaller than the sum of its proper divisors (385477966595168).

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

314014423121344 is a wasteful number, since it uses less digits than its factorization.

314014423121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862752914 (or 862752893 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 314014423121344 its reverse (443121324410413), we get a palindrome (757135747531757).

The spelling of 314014423121344 in words is "three hundred fourteen trillion, fourteen billion, four hundred twenty-three million, one hundred twenty-one thousand, three hundred forty-four".