814996512 has 192 divisors, whose sum is σ = 2683497600. Its totient is φ = 238371840.

The previous prime is 814996499. The next prime is 814996517. The reversal of 814996512 is 215699418.

814996512 is a `hidden beast` number, since 8 + 1 + 49 + 96 + 512 = 666.

It is a super-2 number, since 2×814996512² = 1328438629144332288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814996517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274138 + ... + 277094.

It is an arithmetic number, because the mean of its divisors is an integer number (13976550).

Almost surely, 2^814996512 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 814996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341748800).

814996512 is an abundant number, since it is smaller than the sum of its proper divisors (1868501088).

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

814996512 is a wasteful number, since it uses less digits than its factorization.

814996512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3002 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 814996512 is about 28548.1437575195. The cubic root of 814996512 is about 934.0825308758.

The spelling of 814996512 in words is "eight hundred fourteen million, nine hundred ninety-six thousand, five hundred twelve".