34513460406114 has 32 divisors (see below), whose sum is σ = 69382970910720. Its totient is φ = 11445238501200.

The previous prime is 34513460406097. The next prime is 34513460406169. The reversal of 34513460406114 is 41160406431543.

It is a super-3 number, since 3×34513460406114³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10193692 + ... + 13150599.

It is an arithmetic number, because the mean of its divisors is an integer number (2168217840960).

Almost surely, 2^{34513460406114} is an apocalyptic number.

34513460406114 is an abundant number, since it is smaller than the sum of its proper divisors (34869510504606).

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

34513460406114 is a wasteful number, since it uses less digits than its factorization.

34513460406114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345566.

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 34513460406114 its reverse (41160406431543), we get a palindrome (75673866837657).

The spelling of 34513460406114 in words is "thirty-four trillion, five hundred thirteen billion, four hundred sixty million, four hundred six thousand, one hundred fourteen".