311441312000000 has 2016 divisors, whose sum is σ = 1016340396926400. Its totient is φ = 93162700800000.

The previous prime is 311441311999991. The next prime is 311441312000047. The reversal of 311441312000000 is 213144113.

It is a super-3 number, since 3×311441312000000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 719263999784 + ... + 719264000216.

It is an arithmetic number, because the mean of its divisors is an integer number (504137101650).

Almost surely, 2^{311441312000000} 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 311441312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508170198463200).

311441312000000 is an abundant number, since it is smaller than the sum of its proper divisors (704899084926400).

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

311441312000000 is an frugal number, since it uses more digits than its factorization.

311441312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311441312000000 its reverse (213144113), we get a palindrome (311441525144113).

The spelling of 311441312000000 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred twelve million", and thus it is an aban number.