315000669312 has 480 divisors, whose sum is σ = 1154665807020. Its totient is φ = 84703739904.

The previous prime is 315000669301. The next prime is 315000669317. The reversal of 315000669312 is 213966000513.

315000669312 is a `hidden beast` number, since 3 + 1 + 500 + 0 + 66 + 93 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312409452096 + 2591217216 = 558936^2 + 50904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (315000669317) 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 59 ways as a sum of consecutive naturals, for example, 8618308 + ... + 8654780.

Almost surely, 2^315000669312 is an apocalyptic number.

315000669312 is a gapful number since it is divisible by the number (32) 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 315000669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577332903510).

315000669312 is an abundant number, since it is smaller than the sum of its proper divisors (839665137708).

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

315000669312 is a wasteful number, since it uses less digits than its factorization.

315000669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 315000669312 its reverse (213966000513), we get a palindrome (528966669825).

The spelling of 315000669312 in words is "three hundred fifteen billion, six hundred sixty-nine thousand, three hundred twelve".