1315866816 has 224 divisors, whose sum is σ = 4336450560. Its totient is φ = 387763200.

The previous prime is 1315866803. The next prime is 1315866821. The reversal of 1315866816 is 6186685131.

1315866816 is a `hidden beast` number, since 1 + 3 + 1 + 586 + 68 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702361 + ... + 704231.

Almost surely, 2^1315866816 is an apocalyptic number.

1315866816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

1315866816 is an abundant number, since it is smaller than the sum of its proper divisors (3020583744).

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

1315866816 is a wasteful number, since it uses less digits than its factorization.

1315866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1924 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1315866816 is about 36274.8785800862. The cubic root of 1315866816 is about 1095.8151783113.

The spelling of 1315866816 in words is "one billion, three hundred fifteen million, eight hundred sixty-six thousand, eight hundred sixteen".