801306395712 has 588 divisors, whose sum is σ = 2591660781108. Its totient is φ = 244850688000.

The previous prime is 801306395711. The next prime is 801306395723. The reversal of 801306395712 is 217593603108.

801306395712 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 0 + 639 + 5 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41313001536 + 759993394176 = 203256^2 + 871776^2 .

It is not an unprimeable number, because it can be changed into a prime (801306395711) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1333288212 + ... + 1333288812.

Almost surely, 2^801306395712 is an apocalyptic number.

801306395712 is a gapful number since it is divisible by the number (82) 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 801306395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295830390554).

801306395712 is an abundant number, since it is smaller than the sum of its proper divisors (1790354385396).

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

801306395712 is an equidigital number, since it uses as much as digits as its factorization.

801306395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 801306395712 in words is "eight hundred one billion, three hundred six million, three hundred ninety-five thousand, seven hundred twelve".