34106416132056 has 64 divisors (see below), whose sum is σ = 85358947776480. Its totient is φ = 11356420884480.

The previous prime is 34106416132039. The next prime is 34106416132057. The reversal of 34106416132056 is 65023161460143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34106416131999 and 34106416132017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106416132057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179604550 + ... + 179794346.

Almost surely, 2^{34106416132056} is an apocalyptic number.

It is an amenable number.

34106416132056 is an abundant number, since it is smaller than the sum of its proper divisors (51252531644424).

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

34106416132056 is a wasteful number, since it uses less digits than its factorization.

34106416132056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197924 (or 197920 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 34106416132056 its reverse (65023161460143), we get a palindrome (99129577592199).

The spelling of 34106416132056 in words is "thirty-four trillion, one hundred six billion, four hundred sixteen million, one hundred thirty-two thousand, fifty-six".