318856689648 has 320 divisors, whose sum is σ = 1074102681600. Its totient is φ = 88683206400.

The previous prime is 318856689647. The next prime is 318856689713. The reversal of 318856689648 is 846986658813.

It is a happy number.

318856689648 is a `hidden beast` number, since 3 + 18 + 8 + 566 + 8 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318856689647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18368173 + ... + 18385523.

It is an arithmetic number, because the mean of its divisors is an integer number (3356570880).

Almost surely, 2^318856689648 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 318856689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537051340800).

318856689648 is an abundant number, since it is smaller than the sum of its proper divisors (755245991952).

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

318856689648 is a wasteful number, since it uses less digits than its factorization.

318856689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17537 (or 17525 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 318856689648 in words is "three hundred eighteen billion, eight hundred fifty-six million, six hundred eighty-nine thousand, six hundred forty-eight".