315488166768 has 120 divisors (see below), whose sum is σ = 922550952960. Its totient is φ = 100455696000.

The previous prime is 315488166743. The next prime is 315488166823. The reversal of 315488166768 is 867661884513.

315488166768 is a `hidden beast` number, since 3 + 1 + 548 + 8 + 16 + 6 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2423893 + ... + 2550731.

It is an arithmetic number, because the mean of its divisors is an integer number (7687924608).

Almost surely, 2^315488166768 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 315488166768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461275476480).

315488166768 is an abundant number, since it is smaller than the sum of its proper divisors (607062786192).

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

315488166768 is a wasteful number, since it uses less digits than its factorization.

315488166768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127627 (or 127618 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 315488166768 in words is "three hundred fifteen billion, four hundred eighty-eight million, one hundred sixty-six thousand, seven hundred sixty-eight".