311342114412 has 144 divisors (see below), whose sum is σ = 905461939200. Its totient is φ = 88360574976.

The previous prime is 311342114411. The next prime is 311342114431. The reversal of 311342114412 is 214411243113.

It is a happy number.

311342114412 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 211 + 441 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (311342114411) 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, 23761839 + ... + 23774937.

Almost surely, 2^311342114412 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 311342114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452730969600).

311342114412 is an abundant number, since it is smaller than the sum of its proper divisors (594119824788).

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

311342114412 is a wasteful number, since it uses less digits than its factorization.

311342114412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13735 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 311342114412 its reverse (214411243113), we get a palindrome (525753357525).

The spelling of 311342114412 in words is "three hundred eleven billion, three hundred forty-two million, one hundred fourteen thousand, four hundred twelve".