323856144864 has 192 divisors, whose sum is σ = 1136337753600. Its totient is φ = 87660278784.

The previous prime is 323856144853. The next prime is 323856144877. The reversal of 323856144864 is 468441658323.

323856144864 is a `hidden beast` number, since 3 + 2 + 3 + 85 + 61 + 448 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 323856144864.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1294237 + ... + 1524060.

It is an arithmetic number, because the mean of its divisors is an integer number (5918425800).

Almost surely, 2^323856144864 is an apocalyptic number.

It is an amenable number.

323856144864 is an abundant number, since it is smaller than the sum of its proper divisors (812481608736).

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

323856144864 is a wasteful number, since it uses less digits than its factorization.

323856144864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818342 (or 2818328 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 323856144864 in words is "three hundred twenty-three billion, eight hundred fifty-six million, one hundred forty-four thousand, eight hundred sixty-four".