314232111121344 has 448 divisors, whose sum is σ = 937273187257344. Its totient is φ = 92188015755264.

The previous prime is 314232111121337. The next prime is 314232111121351. The reversal of 314232111121344 is 443121111232413.

It is an interprime number because it is at equal distance from previous prime (314232111121337) and next prime (314232111121351).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 30340065414 + ... + 30340075770.

It is an arithmetic number, because the mean of its divisors is an integer number (2092127650128).

Almost surely, 2^{314232111121344} 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 314232111121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468636593628672).

314232111121344 is an abundant number, since it is smaller than the sum of its proper divisors (623041076136000).

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

314232111121344 is a wasteful number, since it uses less digits than its factorization.

314232111121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12044 (or 12034 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 314232111121344 its reverse (443121111232413), we get a palindrome (757353222353757).

The spelling of 314232111121344 in words is "three hundred fourteen trillion, two hundred thirty-two billion, one hundred eleven million, one hundred twenty-one thousand, three hundred forty-four".