814267815816 has 256 divisors, whose sum is σ = 2587756953600. Its totient is φ = 207704217600.

The previous prime is 814267815797. The next prime is 814267815841. The reversal of 814267815816 is 618518762418.

814267815816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 216041580 + ... + 216045348.

It is an arithmetic number, because the mean of its divisors is an integer number (10108425600).

Almost surely, 2^814267815816 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 814267815816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293878476800).

814267815816 is an abundant number, since it is smaller than the sum of its proper divisors (1773489137784).

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

814267815816 is a wasteful number, since it uses less digits than its factorization.

814267815816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7016 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The spelling of 814267815816 in words is "eight hundred fourteen billion, two hundred sixty-seven million, eight hundred fifteen thousand, eight hundred sixteen".