321117824841 has 24 divisors (see below), whose sum is σ = 485800234752. Its totient is φ = 188338893600.

The previous prime is 321117824809. The next prime is 321117824843. The reversal of 321117824841 is 148428711123.

It is a happy number.

It is not a de Polignac number, because 321117824841 - 2⁵ = 321117824809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321117824793 and 321117824802.

It is not an unprimeable number, because it can be changed into a prime (321117824843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14256846 + ... + 14279351.

It is an arithmetic number, because the mean of its divisors is an integer number (20241676448).

Almost surely, 2^321117824841 is an apocalyptic number.

321117824841 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321117824841 is a deficient number, since it is larger than the sum of its proper divisors (164682409911).

321117824841 is a wasteful number, since it uses less digits than its factorization.

321117824841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28536253 (or 28536242 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The spelling of 321117824841 in words is "three hundred twenty-one billion, one hundred seventeen million, eight hundred twenty-four thousand, eight hundred forty-one".