814864512 has 384 divisors, whose sum is σ = 2857697280. Its totient is φ = 203212800.

The previous prime is 814864511. The next prime is 814864529. The reversal of 814864512 is 215468418.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (814864511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416193 + ... + 6416319.

It is an arithmetic number, because the mean of its divisors is an integer number (7441920).

Almost surely, 2^814864512 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 814864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428848640).

814864512 is an abundant number, since it is smaller than the sum of its proper divisors (2042832768).

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

814864512 is a wasteful number, since it uses less digits than its factorization.

814864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 814864512 is about 28545.8317797888. The cubic root of 814864512 is about 934.0320989416.

The spelling of 814864512 in words is "eight hundred fourteen million, eight hundred sixty-four thousand, five hundred twelve".