314144020344 has 192 divisors, whose sum is σ = 998169955200. Its totient is φ = 81470188800.

The previous prime is 314144020343. The next prime is 314144020349. The reversal of 314144020344 is 443020441413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314144020343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8532327 + ... + 8569065.

It is an arithmetic number, because the mean of its divisors is an integer number (5198801850).

Almost surely, 2^314144020344 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 314144020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499084977600).

314144020344 is an abundant number, since it is smaller than the sum of its proper divisors (684025934856).

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

314144020344 is a wasteful number, since it uses less digits than its factorization.

314144020344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37434 (or 37423 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 314144020344 its reverse (443020441413), we get a palindrome (757164461757).

The spelling of 314144020344 in words is "three hundred fourteen billion, one hundred forty-four million, twenty thousand, three hundred forty-four".