811918046016 has 504 divisors, whose sum is σ = 2928372941312. Its totient is φ = 210532608000.

The previous prime is 811918045993. The next prime is 811918046033. The reversal of 811918046016 is 610640819118.

It is a happy number.

811918046016 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 180 + 460 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416153841 + ... + 416155791.

Almost surely, 2^811918046016 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 811918046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464186470656).

811918046016 is an abundant number, since it is smaller than the sum of its proper divisors (2116454895296).

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

811918046016 is a wasteful number, since it uses less digits than its factorization.

811918046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 811918046016 in words is "eight hundred eleven billion, nine hundred eighteen million, forty-six thousand, sixteen".