318426540768 has 288 divisors, whose sum is σ = 1081659186720. Its totient is φ = 90870958080.

The previous prime is 318426540763. The next prime is 318426540769. The reversal of 318426540768 is 867045624813.

It is a happy number.

318426540768 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 26 + 540 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318426540763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39834180 + ... + 39842172.

It is an arithmetic number, because the mean of its divisors is an integer number (3755761065).

Almost surely, 2^318426540768 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 318426540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540829593360).

318426540768 is an abundant number, since it is smaller than the sum of its proper divisors (763232645952).

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

318426540768 is a wasteful number, since it uses less digits than its factorization.

318426540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 318426540768 in words is "three hundred eighteen billion, four hundred twenty-six million, five hundred forty thousand, seven hundred sixty-eight".