333242314113344 has 112 divisors (see below), whose sum is σ = 668640783859776. Its totient is φ = 164771582976000.

The previous prime is 333242314113343. The next prime is 333242314113349. The reversal of 333242314113344 is 443311413242333.

It is a happy number.

It is a super-2 number, since 2×333242314113344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333242314113343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16182299912 + ... + 16182320504.

It is an arithmetic number, because the mean of its divisors is an integer number (5970006998748).

Almost surely, 2^{333242314113344} 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 333242314113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334320391929888).

333242314113344 is an abundant number, since it is smaller than the sum of its proper divisors (335398469746432).

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

333242314113344 is a wasteful number, since it uses less digits than its factorization.

333242314113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24784 (or 24774 counting only the distinct ones).

The product of its digits is 746496, while the sum is 41.

Adding to 333242314113344 its reverse (443311413242333), we get a palindrome (776553727355677).

The spelling of 333242314113344 in words is "three hundred thirty-three trillion, two hundred forty-two billion, three hundred fourteen million, one hundred thirteen thousand, three hundred forty-four".