311234034253344 has 192 divisors, whose sum is σ = 831003330326400. Its totient is φ = 101982395768832.

The previous prime is 311234034253321. The next prime is 311234034253369. The reversal of 311234034253344 is 443352430432113.

It is a super-2 number, since 2×311234034253344² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311234034253296 and 311234034253305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970344262 + ... + 970664954.

It is an arithmetic number, because the mean of its divisors is an integer number (4328142345450).

Almost surely, 2^{311234034253344} 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 311234034253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415501665163200).

311234034253344 is an abundant number, since it is smaller than the sum of its proper divisors (519769296073056).

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

311234034253344 is a wasteful number, since it uses less digits than its factorization.

311234034253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321547 (or 321539 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 311234034253344 its reverse (443352430432113), we get a palindrome (754586464685457).

The spelling of 311234034253344 in words is "three hundred eleven trillion, two hundred thirty-four billion, thirty-four million, two hundred fifty-three thousand, three hundred forty-four".