801394311168 has 720 divisors, whose sum is σ = 2713673813760. Its totient is φ = 234101145600.

The previous prime is 801394311163. The next prime is 801394311169. The reversal of 801394311168 is 861113493108.

801394311168 is a `hidden beast` number, since 80 + 13 + 94 + 311 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (801394311163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270038213 + ... + 1270038843.

It is an arithmetic number, because the mean of its divisors is an integer number (3768991408).

Almost surely, 2^801394311168 is an apocalyptic number.

801394311168 is a gapful number since it is divisible by the number (88) 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 801394311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356836906880).

801394311168 is an abundant number, since it is smaller than the sum of its proper divisors (1912279502592).

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

801394311168 is an equidigital number, since it uses as much as digits as its factorization.

801394311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 801394311168 in words is "eight hundred one billion, three hundred ninety-four million, three hundred eleven thousand, one hundred sixty-eight".