318477664124928 has 3456 divisors, whose sum is σ = 1266323326894080. Its totient is φ = 77587808256000.

The previous prime is 318477664124899. The next prime is 318477664124953. The reversal of 318477664124928 is 829421466774813.

It is a happy number.

318477664124928 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 7 + 76 + 64 + 1 + 2 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4485600903133 + ... + 4485600903203.

It is an arithmetic number, because the mean of its divisors is an integer number (366412999680).

Almost surely, 2^{318477664124928} 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 318477664124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633161663447040).

318477664124928 is an abundant number, since it is smaller than the sum of its proper divisors (947845662769152).

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

318477664124928 is an frugal number, since it uses more digits than its factorization.

318477664124928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 184 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 318477664124928 in words is "three hundred eighteen trillion, four hundred seventy-seven billion, six hundred sixty-four million, one hundred twenty-four thousand, nine hundred twenty-eight".