808014066741 has 48 divisors (see below), whose sum is σ = 1348111784448. Its totient is φ = 456811898400.

The previous prime is 808014066731. The next prime is 808014066749. The reversal of 808014066741 is 147660410808.

It is not a de Polignac number, because 808014066741 - 2⁶ = 808014066677 is a prime.

It is a super-2 number, since 2×808014066741² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808014066749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2583850 + ... + 2879636.

It is an arithmetic number, because the mean of its divisors is an integer number (28085662176).

Almost surely, 2^808014066741 is an apocalyptic number.

It is an amenable number.

808014066741 is a deficient number, since it is larger than the sum of its proper divisors (540097717707).

808014066741 is a wasteful number, since it uses less digits than its factorization.

808014066741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296262 (or 296259 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 808014066741 in words is "eight hundred eight billion, fourteen million, sixty-six thousand, seven hundred forty-one".