318949393680 has 540 divisors, whose sum is σ = 1166335187940. Its totient is φ = 78094098432.

The previous prime is 318949393661. The next prime is 318949393699. The reversal of 318949393680 is 86393949813.

318949393680 is a `hidden beast` number, since 3 + 1 + 89 + 493 + 9 + 3 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (318949393661) and next prime (318949393699).

It can be written as a sum of positive squares in 6 ways, for example, as 21475143936 + 297474249744 = 146544^2 + 545412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 384739506 + ... + 384740334.

Almost surely, 2^318949393680 is an apocalyptic number.

318949393680 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 318949393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583167593970).

318949393680 is an abundant number, since it is smaller than the sum of its proper divisors (847385794260).

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

318949393680 is a wasteful number, since it uses less digits than its factorization.

318949393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 318949393680 in words is "three hundred eighteen billion, nine hundred forty-nine million, three hundred ninety-three thousand, six hundred eighty".