34334450316416 has 32 divisors (see below), whose sum is σ = 68405927239980. Its totient is φ = 17165903872000.

The previous prime is 34334450316307. The next prime is 34334450316431. The reversal of 34334450316416 is 61461305443343.

It can be written as a sum of positive squares in 2 ways, for example, as 33672023617600 + 662426698816 = 5802760^2 + 813896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8651921 + ... + 11980176.

Almost surely, 2^{34334450316416} is an apocalyptic number.

It is an amenable number.

34334450316416 is a deficient number, since it is larger than the sum of its proper divisors (34071476923564).

34334450316416 is a wasteful number, since it uses less digits than its factorization.

34334450316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20645112 (or 20645100 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

Adding to 34334450316416 its reverse (61461305443343), we get a palindrome (95795755759759).

The spelling of 34334450316416 in words is "thirty-four trillion, three hundred thirty-four billion, four hundred fifty million, three hundred sixteen thousand, four hundred sixteen".