810288334512 has 160 divisors (see below), whose sum is σ = 2449198400000. Its totient is φ = 255780322560.

The previous prime is 810288334507. The next prime is 810288334549. The reversal of 810288334512 is 215433882018.

810288334512 is a `hidden beast` number, since 8 + 1 + 0 + 28 + 83 + 34 + 512 = 666.

810288334512 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 31 ways as a sum of consecutive naturals, for example, 22545837 + ... + 22581747.

It is an arithmetic number, because the mean of its divisors is an integer number (15307490000).

Almost surely, 2^810288334512 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 810288334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224599200000).

810288334512 is an abundant number, since it is smaller than the sum of its proper divisors (1638910065488).

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

810288334512 is a wasteful number, since it uses less digits than its factorization.

810288334512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38696 (or 38684 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 810288334512 in words is "eight hundred ten billion, two hundred eighty-eight million, three hundred thirty-four thousand, five hundred twelve".