318964655227680 has 2304 divisors, whose sum is σ = 1432918731718656. Its totient is φ = 62644686888960.

The previous prime is 318964655227679. The next prime is 318964655227697. The reversal of 318964655227680 is 86722556469813.

318964655227680 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 6 + 4 + 6 + 552 + 2 + 7 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 318964655227599 and 318964655227608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 127432941309 + ... + 127432943811.

It is an arithmetic number, because the mean of its divisors is an integer number (621926532864).

It is a 1-persistent number, because it is pandigital, but 2⋅318964655227680 = 637929310455360 is not.

Almost surely, 2^{318964655227680} is an apocalyptic number.

318964655227680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318964655227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716459365859328).

318964655227680 is an abundant number, since it is smaller than the sum of its proper divisors (1113954076490976).

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

318964655227680 is a wasteful number, since it uses less digits than its factorization.

318964655227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 318964655227680 in words is "three hundred eighteen trillion, nine hundred sixty-four billion, six hundred fifty-five million, two hundred twenty-seven thousand, six hundred eighty".