1315225874688 has 216 divisors, whose sum is σ = 3849626577888. Its totient is φ = 398340096000.

The previous prime is 1315225874659. The next prime is 1315225874717. The reversal of 1315225874688 is 8864785225131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1315225874659) and next prime (1315225874717).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312328903 + ... + 312333113.

It is an arithmetic number, because the mean of its divisors is an integer number (17822345268).

Almost surely, 2^{1315225874688} 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 1315225874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924813288944).

1315225874688 is an abundant number, since it is smaller than the sum of its proper divisors (2534400703200).

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

1315225874688 is a wasteful number, since it uses less digits than its factorization.

1315225874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7588 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 1315225874688 in words is "one trillion, three hundred fifteen billion, two hundred twenty-five million, eight hundred seventy-four thousand, six hundred eighty-eight".