34111653216 has 96 divisors (see below), whose sum is σ = 93586479840. Its totient is φ = 10865197056.

The previous prime is 34111653157. The next prime is 34111653217. The reversal of 34111653216 is 61235611143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111653217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206890 + ... + 333206.

It is an arithmetic number, because the mean of its divisors is an integer number (974859165).

Almost surely, 2^34111653216 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 34111653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46793239920).

34111653216 is an abundant number, since it is smaller than the sum of its proper divisors (59474826624).

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

34111653216 is a wasteful number, since it uses less digits than its factorization.

34111653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126456 (or 126448 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The spelling of 34111653216 in words is "thirty-four billion, one hundred eleven million, six hundred fifty-three thousand, two hundred sixteen".