34116412541 has 24 divisors (see below), whose sum is σ = 35478259200. Its totient is φ = 32794160256.

The previous prime is 34116412507. The next prime is 34116412553. The reversal of 34116412541 is 14521461143.

It is a de Polignac number, because none of the positive numbers 2^k-34116412541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34116412498 and 34116412507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116412241) 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 23 ways as a sum of consecutive naturals, for example, 56204660 + ... + 56205266.

It is an arithmetic number, because the mean of its divisors is an integer number (1478260800).

Almost surely, 2^34116412541 is an apocalyptic number.

It is an amenable number.

34116412541 is a deficient number, since it is larger than the sum of its proper divisors (1361846659).

34116412541 is an equidigital number, since it uses as much as digits as its factorization.

34116412541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 932 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

Adding to 34116412541 its reverse (14521461143), we get a palindrome (48637873684).

The spelling of 34116412541 in words is "thirty-four billion, one hundred sixteen million, four hundred twelve thousand, five hundred forty-one".