34254616433101 has 8 divisors (see below), whose sum is σ = 34670734759800. Its totient is φ = 33839192217600.

The previous prime is 34254616433083. The next prime is 34254616433111. The reversal of 34254616433101 is 10133461645243.

It can be written as a sum of positive squares in 4 ways, for example, as 2871888100 + 34251744545001 = 53590^2 + 5852499^2 .

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 34254616433101 - 2¹⁹ = 34254615908813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34254616433111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173428500 + ... + 173625901.

It is an arithmetic number, because the mean of its divisors is an integer number (4333841844975).

Almost surely, 2^{34254616433101} is an apocalyptic number.

It is an amenable number.

34254616433101 is a deficient number, since it is larger than the sum of its proper divisors (416118326699).

34254616433101 is a wasteful number, since it uses less digits than its factorization.

34254616433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347055599.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 34254616433101 in words is "thirty-four trillion, two hundred fifty-four billion, six hundred sixteen million, four hundred thirty-three thousand, one hundred one".