34313323454144 has 112 divisors (see below), whose sum is σ = 80469350961408. Its totient is φ = 14212896242688.

The previous prime is 34313323454129. The next prime is 34313323454149. The reversal of 34313323454144 is 44145432331343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 34313323454095 and 34313323454104.

It is not an unprimeable number, because it can be changed into a prime (34313323454149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9193754 + ... + 12375449.

Almost surely, 2^{34313323454144} is an apocalyptic number.

It is an amenable number.

34313323454144 is an abundant number, since it is smaller than the sum of its proper divisors (46156027507264).

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

34313323454144 is a wasteful number, since it uses less digits than its factorization.

34313323454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569342 (or 21569332 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 44.

Adding to 34313323454144 its reverse (44145432331343), we get a palindrome (78458755785487).

The spelling of 34313323454144 in words is "thirty-four trillion, three hundred thirteen billion, three hundred twenty-three million, four hundred fifty-four thousand, one hundred forty-four".