34056441626101 has 8 divisors (see below), whose sum is σ = 37034349877080. Its totient is φ = 31186820947968.

The previous prime is 34056441626021. The next prime is 34056441626159. The reversal of 34056441626101 is 10162614465043.

It can be written as a sum of positive squares in 4 ways, for example, as 10571504418225 + 23484937207876 = 3251385^2 + 4846126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34056441626101 - 2¹¹ = 34056441624053 is a prime.

It is a super-3 number, since 3×34056441626101³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056441686101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27071892556 + ... + 27071893813.

It is an arithmetic number, because the mean of its divisors is an integer number (4629293734635).

Almost surely, 2^{34056441626101} is an apocalyptic number.

It is an amenable number.

34056441626101 is a deficient number, since it is larger than the sum of its proper divisors (2977908250979).

34056441626101 is a wasteful number, since it uses less digits than its factorization.

34056441626101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54143786423.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 34056441626101 in words is "thirty-four trillion, fifty-six billion, four hundred forty-one million, six hundred twenty-six thousand, one hundred one".