318434660544 has 1792 divisors, whose sum is σ = 1284666163200. Its totient is φ = 66886041600.

The previous prime is 318434660519. The next prime is 318434660567. The reversal of 318434660544 is 445066434813.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 318434660493 and 318434660502.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3282831504 + ... + 3282831600.

It is an arithmetic number, because the mean of its divisors is an integer number (716889600).

Almost surely, 2^318434660544 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 318434660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642333081600).

318434660544 is an abundant number, since it is smaller than the sum of its proper divisors (966231502656).

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

318434660544 is a wasteful number, since it uses less digits than its factorization.

318434660544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 318434660544 in words is "three hundred eighteen billion, four hundred thirty-four million, six hundred sixty thousand, five hundred forty-four".