315445065264264 has 256 divisors, whose sum is σ = 856739270177280. Its totient is φ = 96210180218880.

The previous prime is 315445065264191. The next prime is 315445065264337. The reversal of 315445065264264 is 462462560544513.

It is an interprime number because it is at equal distance from previous prime (315445065264191) and next prime (315445065264337).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71839001509 + ... + 71839005899.

It is an arithmetic number, because the mean of its divisors is an integer number (3346637774130).

Almost surely, 2^{315445065264264} 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 315445065264264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428369635088640).

315445065264264 is an abundant number, since it is smaller than the sum of its proper divisors (541294204913016).

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

315445065264264 is a wasteful number, since it uses less digits than its factorization.

315445065264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 57.

The spelling of 315445065264264 in words is "three hundred fifteen trillion, four hundred forty-five billion, sixty-five million, two hundred sixty-four thousand, two hundred sixty-four".