80946566814961 has 27 divisors (see below), whose sum is σ = 84374017662753. Its totient is φ = 77656613492160.

The previous prime is 80946566814959. The next prime is 80946566815007. The reversal of 80946566814961 is 16941866564908.

The square root of 80946566814961 is 8997031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20191713003361 + 60754853811600 = 4493519^2 + 7794540^2 .

It is not a de Polignac number, because 80946566814961 - 2¹ = 80946566814959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80946566814901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24300979066 + ... + 24300982396.

It is an arithmetic number, because the mean of its divisors is an integer number (3124963617139).

Almost surely, 2^{80946566814961} is an apocalyptic number.

80946566814961 is the 8997031-st square number.

80946566814961 is the 4498516-th centered octagonal number.

It is an amenable number.

80946566814961 is a deficient number, since it is larger than the sum of its proper divisors (3427450847792).

80946566814961 is an frugal number, since it uses more digits than its factorization.

80946566814961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 73.

The spelling of 80946566814961 in words is "eighty trillion, nine hundred forty-six billion, five hundred sixty-six million, eight hundred fourteen thousand, nine hundred sixty-one".