316946338560 has 1152 divisors, whose sum is σ = 1230913152000. Its totient is φ = 77934182400.

The previous prime is 316946338559. The next prime is 316946338567. The reversal of 316946338560 is 65833649613.

316946338560 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 46 + 3 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 316946338497 and 316946338506.

It is not an unprimeable number, because it can be changed into a prime (316946338567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3138082510 + ... + 3138082610.

It is an arithmetic number, because the mean of its divisors is an integer number (1068501000).

Almost surely, 2^316946338560 is an apocalyptic number.

316946338560 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 316946338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615456576000).

316946338560 is an abundant number, since it is smaller than the sum of its proper divisors (913966813440).

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

316946338560 is an equidigital number, since it uses as much as digits as its factorization.

316946338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

It can be divided in two parts, 3169463 and 38560, that added together give a palindrome (3208023).

The spelling of 316946338560 in words is "three hundred sixteen billion, nine hundred forty-six million, three hundred thirty-eight thousand, five hundred sixty".