321814848816 has 60 divisors (see below), whose sum is σ = 903215367600. Its totient is φ = 106964231040.

The previous prime is 321814848703. The next prime is 321814848853. The reversal of 321814848816 is 618848418123.

321814848816 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 148 + 488 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3151500 + ... + 3252011.

It is an arithmetic number, because the mean of its divisors is an integer number (15053589460).

Almost surely, 2^321814848816 is an apocalyptic number.

321814848816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

321814848816 is an abundant number, since it is smaller than the sum of its proper divisors (581400518784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321814848816 is a wasteful number, since it uses less digits than its factorization.

321814848816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403874 (or 6403865 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 321814848816 in words is "three hundred twenty-one billion, eight hundred fourteen million, eight hundred forty-eight thousand, eight hundred sixteen".