8006801340814 has 16 divisors (see below), whose sum is σ = 12207204336240. Its totient is φ = 3937734452160.

The previous prime is 8006801340779. The next prime is 8006801340827. The reversal of 8006801340814 is 4180431086008.

It is a super-3 number, since 3×8006801340814³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16696317 + ... + 17169175.

It is an arithmetic number, because the mean of its divisors is an integer number (762950271015).

Almost surely, 2^{8006801340814} is an apocalyptic number.

8006801340814 is a deficient number, since it is larger than the sum of its proper divisors (4200402995426).

8006801340814 is a wasteful number, since it uses less digits than its factorization.

8006801340814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611715.

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 8006801340814 in words is "eight trillion, six billion, eight hundred one million, three hundred forty thousand, eight hundred fourteen".