34222869824401 has 8 divisors (see below), whose sum is σ = 34228120205664. Its totient is φ = 34217619785280.

The previous prime is 34222869824383. The next prime is 34222869824461. The reversal of 34222869824401 is 10442896822243.

It is a happy number.

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 34222869824401 - 2¹³ = 34222869816209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34222869824461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 255856726 + ... + 255990448.

It is an arithmetic number, because the mean of its divisors is an integer number (4278515025708).

Almost surely, 2^{34222869824401} is an apocalyptic number.

It is an amenable number.

34222869824401 is a deficient number, since it is larger than the sum of its proper divisors (5250381263).

34222869824401 is a wasteful number, since it uses less digits than its factorization.

34222869824401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171071.

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 34222869824401 in words is "thirty-four trillion, two hundred twenty-two billion, eight hundred sixty-nine million, eight hundred twenty-four thousand, four hundred one".