318641104320 has 672 divisors, whose sum is σ = 1313794411776. Its totient is φ = 64666828800.

The previous prime is 318641104153. The next prime is 318641104351. The reversal of 318641104320 is 23401146813.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22242760 + ... + 22257080.

It is an arithmetic number, because the mean of its divisors is an integer number (1955051208).

Almost surely, 2^318641104320 is an apocalyptic number.

318641104320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318641104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656897205888).

318641104320 is an abundant number, since it is smaller than the sum of its proper divisors (995153307456).

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

318641104320 is a wasteful number, since it uses less digits than its factorization.

318641104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14409 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 318641104320 in words is "three hundred eighteen billion, six hundred forty-one million, one hundred four thousand, three hundred twenty".