315146664 has 192 divisors, whose sum is σ = 1015822080. Its totient is φ = 86400000.

The previous prime is 315146659. The next prime is 315146669. The reversal of 315146664 is 466641513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315146659) and next prime (315146669).

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 (315146669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086989 + ... + 2087139.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^315146664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

315146664 is an abundant number, since it is smaller than the sum of its proper divisors (700675416).

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

315146664 is a wasteful number, since it uses less digits than its factorization.

315146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 315146664 is about 17752.3706585909. The cubic root of 315146664 is about 680.5147947202.

The spelling of 315146664 in words is "three hundred fifteen million, one hundred forty-six thousand, six hundred sixty-four".