34133010516 has 144 divisors (see below), whose sum is σ = 100487132928. Its totient is φ = 9734672640.

The previous prime is 34133010497. The next prime is 34133010529. The reversal of 34133010516 is 61501033143.

34133010516 is a `hidden beast` number, since 3 + 4 + 133 + 0 + 10 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34133010516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793621 + ... + 835523.

It is an arithmetic number, because the mean of its divisors is an integer number (697827312).

Almost surely, 2^34133010516 is an apocalyptic number.

34133010516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34133010516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50243566464).

34133010516 is an abundant number, since it is smaller than the sum of its proper divisors (66354122412).

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

34133010516 is a wasteful number, since it uses less digits than its factorization.

34133010516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41963 (or 41936 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 34133010516 its reverse (61501033143), we get a palindrome (95634043659).

The spelling of 34133010516 in words is "thirty-four billion, one hundred thirty-three million, ten thousand, five hundred sixteen".