74109263800321 has 8 divisors (see below), whose sum is σ = 74160718141320. Its totient is φ = 74057825092608.

The previous prime is 74109263800289. The next prime is 74109263800333. The reversal of 74109263800321 is 12300836290147.

It can be written as a sum of positive squares in 4 ways, for example, as 4096215735921 + 70013048064400 = 2023911^2 + 8367380^2 .

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 74109263800321 - 2⁵ = 74109263800289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74109263800421) 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, 5583925 + ... + 13393981.

It is an arithmetic number, because the mean of its divisors is an integer number (9270089767665).

Almost surely, 2^{74109263800321} is an apocalyptic number.

It is an amenable number.

74109263800321 is a deficient number, since it is larger than the sum of its proper divisors (51454340999).

74109263800321 is a wasteful number, since it uses less digits than its factorization.

74109263800321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816643.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 74109263800321 in words is "seventy-four trillion, one hundred nine billion, two hundred sixty-three million, eight hundred thousand, three hundred twenty-one".