318004009344 has 640 divisors, whose sum is σ = 1126064332800. Its totient is φ = 87197700096.

The previous prime is 318004009333. The next prime is 318004009361. The reversal of 318004009344 is 443900400813.

It is a super-2 number, since 2×318004009344² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 318004009299 and 318004009308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180785937 + ... + 180787695.

It is an arithmetic number, because the mean of its divisors is an integer number (1759475520).

Almost surely, 2^318004009344 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 318004009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563032166400).

318004009344 is an abundant number, since it is smaller than the sum of its proper divisors (808060323456).

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

318004009344 is a wasteful number, since it uses less digits than its factorization.

318004009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 318004009344 in words is "three hundred eighteen billion, four million, nine thousand, three hundred forty-four".