34311545506368 has 336 divisors, whose sum is σ = 107735800011840. Its totient is φ = 10375801049088.

The previous prime is 34311545506361. The next prime is 34311545506373. The reversal of 34311545506368 is 86360554511343.

34311545506368 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 1 + 54 + 550 + 6 + 36 + 8 = 666.

34311545506368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34311545506361) 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 47 ways as a sum of consecutive naturals, for example, 2356069455 + ... + 2356084017.

It is an arithmetic number, because the mean of its divisors is an integer number (320642261940).

Almost surely, 2^{34311545506368} 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 34311545506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53867900005920).

34311545506368 is an abundant number, since it is smaller than the sum of its proper divisors (73424254505472).

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

34311545506368 is a wasteful number, since it uses less digits than its factorization.

34311545506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986 (or 19973 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 34311545506368 in words is "thirty-four trillion, three hundred eleven billion, five hundred forty-five million, five hundred six thousand, three hundred sixty-eight".