34106415625256 has 16 divisors (see below), whose sum is σ = 68868723858900. Its totient is φ = 15741422596224.

The previous prime is 34106415625253. The next prime is 34106415625333. The reversal of 34106415625256 is 65252651460143.

It can be written as a sum of positive squares in 2 ways, for example, as 30307557352900 + 3798858272356 = 5505230^2 + 1949066^2 .

It is not an unprimeable number, because it can be changed into a prime (34106415625253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163973151941 + ... + 163973152148.

Almost surely, 2^{34106415625256} is an apocalyptic number.

It is an amenable number.

34106415625256 is an abundant number, since it is smaller than the sum of its proper divisors (34762308233644).

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

34106415625256 is a wasteful number, since it uses less digits than its factorization.

34106415625256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327946304108 (or 327946304104 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 34106415625256 in words is "thirty-four trillion, one hundred six billion, four hundred fifteen million, six hundred twenty-five thousand, two hundred fifty-six".