809666148000 has 384 divisors, whose sum is σ = 2789705318400. Its totient is φ = 204888499200.

The previous prime is 809666147999. The next prime is 809666148017. The reversal of 809666148000 is 841666908.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35040451 + ... + 35063549.

It is an arithmetic number, because the mean of its divisors is an integer number (7264857600).

Almost surely, 2^809666148000 is an apocalyptic number.

809666148000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809666148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394852659200).

809666148000 is an abundant number, since it is smaller than the sum of its proper divisors (1980039170400).

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

809666148000 is a wasteful number, since it uses less digits than its factorization.

809666148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23277 (or 23259 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 809666148000 in words is "eight hundred nine billion, six hundred sixty-six million, one hundred forty-eight thousand".