811948398864 has 80 divisors (see below), whose sum is σ = 2210111966400. Its totient is φ = 256151351808.

The previous prime is 811948398853. The next prime is 811948398917. The reversal of 811948398864 is 468893849118.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484422 + ... + 1363290.

It is an arithmetic number, because the mean of its divisors is an integer number (27626399580).

Almost surely, 2^811948398864 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 811948398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105055983200).

811948398864 is an abundant number, since it is smaller than the sum of its proper divisors (1398163567536).

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

811948398864 is a wasteful number, since it uses less digits than its factorization.

811948398864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879912 (or 879906 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 69.

The spelling of 811948398864 in words is "eight hundred eleven billion, nine hundred forty-eight million, three hundred ninety-eight thousand, eight hundred sixty-four".