315648000000 has 630 divisors, whose sum is σ = 1148110264938. Its totient is φ = 83558400000.

The previous prime is 315647999981. The next prime is 315648000007. The reversal of 315648000000 is 846513.

315648000000 is a `hidden beast` number, since 3 + 15 + 648 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 315610251264 + 37748736 = 561792^2 + 6144^2 .

It is a super-3 number, since 3×315648000000³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315648000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2303999932 + ... + 2304000068.

Almost surely, 2^315648000000 is an apocalyptic number.

315648000000 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 315648000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574055132469).

315648000000 is an abundant number, since it is smaller than the sum of its proper divisors (832462264938).

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

315648000000 is an frugal number, since it uses more digits than its factorization.

315648000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 315648000000 its reverse (846513), we get a palindrome (315648846513).

The spelling of 315648000000 in words is "three hundred fifteen billion, six hundred forty-eight million", and thus it is an aban number.