321777366165216 has 144 divisors (see below), whose sum is σ = 985453688078496. Its totient is φ = 99007364994048.

The previous prime is 321777366165191. The next prime is 321777366165217. The reversal of 321777366165216 is 612561663777123.

321777366165216 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 7 + 7 + 3 + 6 + 616 + 5 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321777366165217) 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 23 ways as a sum of consecutive naturals, for example, 396844626 + ... + 397654638.

It is an arithmetic number, because the mean of its divisors is an integer number (6843428389434).

Almost surely, 2^{321777366165216} is an apocalyptic number.

321777366165216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

321777366165216 is an abundant number, since it is smaller than the sum of its proper divisors (663676321913280).

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

321777366165216 is a wasteful number, since it uses less digits than its factorization.

321777366165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916145 (or 916134 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 321777366165216 in words is "three hundred twenty-one trillion, seven hundred seventy-seven billion, three hundred sixty-six million, one hundred sixty-five thousand, two hundred sixteen".