34442631654313 has 32 divisors (see below), whose sum is σ = 36007961616000. Its totient is φ = 32904081100800.

The previous prime is 34442631654281. The next prime is 34442631654391. The reversal of 34442631654313 is 31345613624443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34442631654313 - 2⁵ = 34442631654281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34442631651313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2679728395 + ... + 2679741247.

It is an arithmetic number, because the mean of its divisors is an integer number (1125248800500).

Almost surely, 2^{34442631654313} is an apocalyptic number.

It is an amenable number.

34442631654313 is a deficient number, since it is larger than the sum of its proper divisors (1565329961687).

34442631654313 is a wasteful number, since it uses less digits than its factorization.

34442631654313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033.

The product of its digits is 7464960, while the sum is 49.

The spelling of 34442631654313 in words is "thirty-four trillion, four hundred forty-two billion, six hundred thirty-one million, six hundred fifty-four thousand, three hundred thirteen".