34133415512 has 128 divisors (see below), whose sum is σ = 79663564800. Its totient is φ = 13388863488.

The previous prime is 34133415461. The next prime is 34133415517. The reversal of 34133415512 is 21551433143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133415517) 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 31 ways as a sum of consecutive naturals, for example, 4216733 + ... + 4224819.

It is an arithmetic number, because the mean of its divisors is an integer number (622371600).

Almost surely, 2^34133415512 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 34133415512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831782400).

34133415512 is an abundant number, since it is smaller than the sum of its proper divisors (45530149288).

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

34133415512 is a wasteful number, since it uses less digits than its factorization.

34133415512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8261 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 34133415512 its reverse (21551433143), we get a palindrome (55684848655).

The spelling of 34133415512 in words is "thirty-four billion, one hundred thirty-three million, four hundred fifteen thousand, five hundred twelve".