34468096440959 has 8 divisors (see below), whose sum is σ = 34925760412032. Its totient is φ = 34011441653400.

The previous prime is 34468096440919. The next prime is 34468096441003. The reversal of 34468096440959 is 95904469086443.

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 34468096440959 - 2²⁰ = 34468095392383 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34468096440892 and 34468096440901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34468096440919) 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, 252227117 + ... + 252363734.

It is an arithmetic number, because the mean of its divisors is an integer number (4365720051504).

Almost surely, 2^{34468096440959} is an apocalyptic number.

34468096440959 is a deficient number, since it is larger than the sum of its proper divisors (457663971073).

34468096440959 is an equidigital number, since it uses as much as digits as its factorization.

34468096440959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504591757.

The product of its (nonzero) digits is 806215680, while the sum is 71.

The spelling of 34468096440959 in words is "thirty-four trillion, four hundred sixty-eight billion, ninety-six million, four hundred forty thousand, nine hundred fifty-nine".