315275879712768 has 192 divisors, whose sum is σ = 958432882942080. Its totient is φ = 91301611831296.

The previous prime is 315275879712767. The next prime is 315275879712817. The reversal of 315275879712768 is 867217978572513.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 315275879712693 and 315275879712702.

It is not an unprimeable number, because it can be changed into a prime (315275879712767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114738180 + ... + 117453827.

It is an arithmetic number, because the mean of its divisors is an integer number (4991837931990).

Almost surely, 2^{315275879712768} is an apocalyptic number.

It is an amenable number.

315275879712768 is an abundant number, since it is smaller than the sum of its proper divisors (643157003229312).

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

315275879712768 is a wasteful number, since it uses less digits than its factorization.

315275879712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232192062 (or 232192042 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 78.

The spelling of 315275879712768 in words is "three hundred fifteen trillion, two hundred seventy-five billion, eight hundred seventy-nine million, seven hundred twelve thousand, seven hundred sixty-eight".