314443422241144 has 32 divisors (see below), whose sum is σ = 673812783364320. Its totient is φ = 134760376676736.

The previous prime is 314443422241141. The next prime is 314443422241213. The reversal of 314443422241144 is 441142224344413.

It is a super-3 number, since 3×314443422241144³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314443422241144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314443422241141) 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 7 ways as a sum of consecutive naturals, for example, 15703819 + ... + 29588794.

It is an arithmetic number, because the mean of its divisors is an integer number (21056649480135).

Almost surely, 2^{314443422241144} is an apocalyptic number.

It is an amenable number.

314443422241144 is an abundant number, since it is smaller than the sum of its proper divisors (359369361123176).

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

314443422241144 is a wasteful number, since it uses less digits than its factorization.

314443422241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45416599 (or 45416595 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 43.

Adding to 314443422241144 its reverse (441142224344413), we get a palindrome (755585646585557).

The spelling of 314443422241144 in words is "three hundred fourteen trillion, four hundred forty-three billion, four hundred twenty-two million, two hundred forty-one thousand, one hundred forty-four".