320315016384 has 672 divisors, whose sum is σ = 1063388971008. Its totient is φ = 91300608000.

The previous prime is 320315016367. The next prime is 320315016479. The reversal of 320315016384 is 483610513023.

320315016384 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 15 + 0 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×320315016384³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436390097 + ... + 1436390319.

It is an arithmetic number, because the mean of its divisors is an integer number (1582424064).

Almost surely, 2^320315016384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320315016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531694485504).

320315016384 is an abundant number, since it is smaller than the sum of its proper divisors (743073954624).

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

320315016384 is a wasteful number, since it uses less digits than its factorization.

320315016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 320315016384 in words is "three hundred twenty billion, three hundred fifteen million, sixteen thousand, three hundred eighty-four".